In this guide I try to cover all the achievements in a way that will require the least amount of backtracking and replaying chapters.

Achievements aren't organised in the order which they actually unlock, I have tried to order them based on when they become relevant. If a decision early on in a chapter affects an achievement later, I will have listed it earlier.
Audio Logs are shuffled between the achievements, roughly in the other in which you should come across them.

The only thing out of order are the Bacon Soup achievements which I list at the start of each chapter. It might be easier to copy their locations onto another document and mark them off as you find them.

v1.5.1.0 update may have fixed save the issues. I haven't tested it myself, but I'd keep backups regardless.

I frequently ran into an issue where the save icon in the bottom right wouldn't disappear. This would occur at both auto saves and at time clocks (manual save points).
This meant the game wasn't able to complete the saving process successfully and I would lose any subsequent progress since the previous save hadn't completed yet.

The only way to fix this was to restart the game entirely. Even quitting to the menu wouldn't fix it.

This bug also corrupted my save once while I was in the middle of chapter 2 and I needed to restart the game from scratch. Hence I recommend backing up your save regularly.

The save file is located in:
...\AppData\LocalLow\Joey Drew Studios\Bendy and the Ink Machine\Saves

I don't go into too much detail on where all the cans of Bacon Soup are in each chapter. Doing so would require long walls of text and by that stage writing a full walkthrough would be easier.

I list how many are in each section of a chapter roughly split by areas that you can't backtrack to or areas that are specifically named in game.

The game doesn't track which cans you've collected nor does it track how many you've collected. You need to count yourself.
Furthermore, when I quit the game mid-chapter I would lose my can collecting progress for that chapter. All the cans would also respawn but that wouldn't be very useful as most of the time you can't backtrack to the early cans of a chapter.
Hence I recommend playing whole chapters at a time when going for the cans. You'll need to anyway if you miss one of these achievements and need to clean up in chapter select; there's no saving in chapter select.

If you need a visual aid, Don Al has mapped out all the locations:
https://psteamcommunity.yuanyoumao.com/sharedfiles/filedetails/?id=1499572938
If you are still stuck, lemme know and I'll write up something in more detail.

- Collected all the Bacon Soup in Chapter One.
Collect all 21 cans of Bacon Soup in this chapter.

• 19 of 21 are while you have free roam of the level before turning on the machine
  
• 2 of 21 are after falling through the floor

Audio Log #1 of 2
On a small table at the start of the hallway that leads towards the theatre room.

- Turn on the radio in Chapter One.
While looking for the six items to fix the ink machine, the radio is in a small office room in the hallway joining the "DREAMS COME TRUE" message and the ink machine balcony. It's the room with light seeping out from under the door and where you find the vinyl.

- Collect all the items.
Story progression achievement.
Collect the six items needed to fix the ink machine and place them on the pedestals.

- Visit theMeatly.
After turning on the ink machine, return to the room with Boris strapped to an operating table (where the wrench was). Right of him is a Bendy in "SHEEP SONGS!" poster. Walk through the poster to find theMeatly. (Note: All theMeatlys are hidden behind the same poster.)

- Fall through the floor.
Story progression achievement.
Turn on the ink machine and go back to the balcony where you raised the ink machine. After the surprise, sprint to the exit and this achievement.

- Listened to All Audio Logs in Chapter One.
Audio Log #2 of 2
After unlocking "Hello Bendy", drain the room you fall into and look for it on a shelf.

- Collect all the Bacon Soup in Chapter Two.
Collect all 31 cans of Bacon Soup in this chapter.

• 23 of 31 are before opening the shutter door at the beginning
  
• 6 of 31 are while you're trying to drain the lower level
  
• 2 of 31 are after being knocked out; one before the chase, one after

Audio Log #1 of 7
After waking up, hack your way through the door and down the stairs. Turn right from the "HE WILL SET US FREE" message to find the first Audio Log.

Audio Log #2 of 7
Directly in front of you after opening the shutter door and breaking the barricade.

Audio Log #3 of 7
Upstairs balcony of the Recording Room. It's by the projector.

Audio Log #4 of 7
In the Recording Room, next to the piano.

- Play the pipe organ 5 times.
Down the hall left of the Recording Room sign, enter the first door on your right to a room with only a pipe organ. Interact with it five times.

Audio Log #5 of 7
Directly opposite the door of Sammy Lawrence's office.

Audio Log #6 of 7
After finding Wally's closet keys, open the closet and this audio log is inside.

- Get all the Bendys on stage.
When solving the musical puzzle to open the shutter door in the recording room, use the projector nine times before solving the puzzle.
Each time you use it, a new Bendy cutout will appear on the stage (they're only visible from the upstairs booth). Once you can see all nine on stage (5 in the front row, 4 in the back) you can solve the puzzle.
This achievement will pop after solving the puzzle.

- Solve the musical puzzle.
Story progression achievement.
You need to play the instruments in a specific order specified by the audio log hidden in the closet. The order is random each time.

- Listened to All Audio Logs in Chapter Two
Audio Log #7 of 7
Head down the stairs into the Infirmary and down more stairs to Utility Shaft 9. Follow the river of ink and the audio log is in the first alcove on your right.

- Run into Jack Fain.
Story progression achievement.
Jack Fain is the searcher holding the second valve. After squishing the poor guy with the machine, pick up the valve and this achievement will unlock.

- Turn on the radio in Chapter Two.
The radio is inside Sammy's office.

- Visit theMeatly.
On your way back after turning the pump control lever, enter the first room on your left. It's the other room in the hallway with the pipe organ. In this room is the poster with theMeatly hidden behind it.

- Survive being chased by Bendy.
Story progression achievement.
There's another chase sequence after escaping from your captor and the searcher spawns.

- Collected all Bacon Soup in Chapter Three.
Collect all 42 cans of Bacon Soup in this chapter.

• 4 of 42 are in the safehouse you start in (one spawns in the bathroom after opening the exit)
  
• 4 of 42 are outside the safehouse
  
• 4 of 42 are on the dark path
  
• 2 of 42 are on Level K
  
• 2 of 42 are on Level 9, in the rooms past the "She's Quite a Gal!" sign
  
• 2 of 42 are on Level 11, in the room where you first see the Projectionist
  
• 5 of 42 are on level P
  
• 19 of 42 are in the stairways

- Got the poor doggie a bone.
After making soup for Boris and opening the door, go back to the room you woke up in.
Next to the box with the can of soup is a bone. Pick up the bone and give it to Boris for this achievement.
The safehouse door will lock after you exit the room so make sure you have everything you need.

Audio Log #1 of 10
It's on the desk hidden behind the shelves of toys in the room with the toy machine. Turn on the machine and move the shelves to access the desk.

- Chose the way of Bendy.
- Chose the way of Alice.
Both paths are basically identical except each path has one unique audio log.
Also, there's an achievement that is only possible on the Demon path (see Blazing Metal). I recommend doing this on the first playthrough.
Unlocking both will require separate runs of this chapter. They will pop at the very end of the chapter.

Audio Log #2 of 10
Exclusive to the Demon path, in the first room flooded with ink.

Audio Log #3 of 10
Exclusive to the Angel path, on a sofa you walk past.

- Unleashed the Tommy Gun.
There are 3 parts to this achievement:

• On the same desk as Audio Log #1, there is a toy ink blob in a bowl. You must interact with this until it's in the shape of the Ink Machine. You'll return here later in the level, so be sure to double check then.
  
• You must choose the Demon path.
  
• You must not die while performing the tasks for Alice Angel.

Theoretically you can force close the game if you are about to die and still get the achievement, but I never needed to test it myself. However, it needs to be done before the screen is completely black as in the current version as the game auto saves as soon as the screen goes black on death. If you are worried about losing progress, it would be safer to backup your save manually. This wouldn't be possible in chapter select either, as the game doesn't save at all.
I recommend ignoring the stairways for now and focus on the tasks. You can go back for the collectibles there after getting the Tommy Gun.
This achievement will unlock immediately upon picking up the Tommy Gun.

- Play with 25 Bendy Dolls.
After Boris gives you the gent pipe, there's a room with lots of Bendy Dolls on shelves. Interact with 25 of them for an achievement. A doll will squeak when interacted with successfully.

Audio Log #4 of 10
When you're opening the door with Boris that has two levers that need to be pulled simultaneously, there's another hallway off to the side that has this audio log (and leads to a dead end).

Audio Log #5 of 10
Level 9, at the bottom of the stairs.

Audio Log #6 of 10
Level 9, while walking across some narrow boards in a room flooded with ink, you'll see the audio log at the end of a branching path off to the right.

- Found all of Alice Angel's gears.
Story progression achievement.
The first task Alice Angel gives you is to retrieve three gears from boxes in the room with the Bendy dolls.

- Turn on the radio in Chapter Three.
After getting off the elevator on Level 11, enter the room immediately on your right. Ignore the stairs and look around to the left for the radio.

Audio Log #7 of 10
Level 11, down the hallway from the elevator there's a river of ink. You'll likely need to come here while hunting Swollen Searchers. Follow the river to the end to your first (and harmless) encounter with the Projectionist. This audio log is on a barrel prior to entering the room where the Projectionist was.

- Hunted down all Swollen Searchers.
Story progression achievement.
The second task from Alice Angel is to kill three Swollen Searchers on level 11. Kill them and retrieve their glowing ink blobs for the achievement.
If you are having trouble against Piper, retreat to the stairwell and go down a level. There's an outhouse there you can use to hide in and regain health. Piper will ignore you completely while you're inside.

- Solved all valve panel puzzles.
Story progression achievement.
The third task from Alice Angel is to retrieve three valve cores from level P.

Audio Log #8 of 10
There is a boarded up door on level 9 to the right of the elevator (if you're facing the elevator). After completing the third talk, Alice Angel gives you an axe to destroy 15 Bendy cutouts. Use it to open the door. An audio log is inside.
Breaking down this door is also essential for several other achievements if you don't get the Tommy Gun.

- Destroyed four Bendy cardboard cutouts in Chapter Three.
Story progression achievement.
The fourth task from Alice Angel is to destroy 15 Bendy cutouts on level K. I suggest making your way back to the foyer first before destroying the first cutout and leave the one behind the elevator to last. Bendy will spawn upon destroying the last cutout and there's an outhouse to hide in nearby.

- Survived the Butcher Gang's attack.
Story progression achievement.
Upon finishing the cutout task and returning to level 9, after some dialogue the Butcher Gang will attack.
You can jump up on some barrels at under the stairs near the elevator and attack the enemies without worrying about getting hit.

Note: Now is the time to go for the rest of the chapter's collectibles.
Make sure to grab the axe that spawns in the (previously) boarded up room if you don't have the Tommy Gun.

- Kicked back with theMeatly.
After surviving the Butcher Gang's attack on level 9, go back to level P and turn left at the "HE WILL SET US FREE" message. At the back right corner of the room (near the mechanism you had to solve to unlock a valve core) is the poster you can travel through to find theMeatly.

- Brought down The Projectionist.
The Projectionist is on level 14. He is most easily killed with the Tommy Gun as you can just shoot him from above when you first encounter him. He can also be killed with the axe (and probably pipe), but you'll likely die. Not that dying is a problem (The Projectionist doesn't regain health) and the respawn is extremely close by.

Audio Log #9 of 10
On a crate in the inky abyss. It's in the large open area.

- Unearthed the sunken room.
This achievement requires the Tommy Gun or an axe found in the boarded up room with Audio Log #8 (it spawns after surviving the Butcher Gang's attack).
In the back right corner of level 14 (assuming the elevator faces front) is a boarded up area with a valve. Turn this valve.
Return to level P and into the door next to the "I DON'T WANT TO WORK HERE ANYMORE" message. Follow the corridor and down the stairs (which was previously flooded) to an audio log that unlocks this achievement. This also counts as Audio Log #10 of 10.

- Survived the inky abyss.
Story progression achievement.
The final task from Alice Angel is to retrieve five ink hearts from the inky abyss on level 14. This unlocks upon picking up the final heart.
Don't hand in the hearts until you are ready to leave the chapter.

- Listened to All Audio Logs in Chapter Three.
Grabbing all 10 audio logs of this chapter will require two playthroughs of the chapter. The demon and angel path each contain one unique audio log.

- Collect all the Bacon Soup in Chapter Four.
Collect all 19 cans of Bacon Soup in this chapter.

• 2 of 19 are prior to entering Archives
  
• 1 of 19 is in Archives
  
• 1 of 19 is behind the ink pool
  
• 2 of 19 are after crossing the bridge, before entering the vent
  
• 1 of 19 is after exiting the vent
  
• 1 of 19 is in Storage 9
  
• 3 of 19 are in Research and Design (two upstairs; one in the left hallway)
  
• 4 of 19 are in Attraction Storage
  
• 2 of 19 are in Maintenance
  
• 1 of 19 is in the Haunted House (before riding)
  
• 1 of 19 is in the boss arena

Audio Log #1 of 7
Immediately upon entering the door marked "Management", it's on the desk on the right.

- Visit theMeatly.
Don't enter the Archives yet after opening the door. Instead head back to the "Management" door and open the other door that was previously locked. Inside is the "SHEEP SONGS!" poster.

Audio Log #2 of 7
Inside Archives, on a table in the circular room with the shelves.

- Find the Radio in Chapter Four.
After opening the door labelled "PRIVATE" you'll reach a machine with dial on the right and a lever on the left.
Turn the dial until it shows an arch shape (radio). Grab an ink blob from down the nearby hall and deposit it into the machine. Pull the lever to spawn a radio and turn it on for this achievement.

Audio Log #3 of 7
After exiting the vent, head up the stairs to find the audio log on a table.

Audio Log #4 of 7
Immediately after entering Storage 9, down the stairs and turn right at the punch clock.

- Get a perfect score on Bull's Eye Bonanaza.
The first of two minigames required when powering the Haunted House. Getting a perfect score isn't required to progress the story, but only for the achievement. You cannot miss a shot but the target locations are always the same, so this just comes down to practice and memorisation.

- Get a perfect score on Bottle Wallop.
The second of two minigames required when powering the Haunted House. Getting a perfect score isn't required to progress the story, but only for the achievement.
You need to knock down all nine bottles with only three balls. Your throw is fastest when the ball is at its lowest.
Throwing the ball at the bottom two bottles at almost maximum speed is usually enough. It still counts if the bottle is tipped over but still on the barrel, as long as the bottom isn't touching the barrel.
It's a bit finicky and requires a little luck.

- Ring the bell.
Next to the entrance to Research and Design is a test your strength hammer game. Hit the bell at the top by swinging the hammer when it's furthest back.

Audio Log #5 of 7
Inside Research and Design, after getting past the Butcher Gang. It's next to the switch #2.

Audio Log #6 of 7
Inside Attraction Storage. Activating this log will start the Bertrum boss fight. As this cannot be missed, it may not even count towards this chapter's audio logs.

- Go for a wild ride.
Activate Audio Log #6 to begin the Bertrum boss fight, then pick up the axe. When Bertrum slams down one of his 'arms' and the rides weakpoints are revealed, don't attack the weakpoints but instead run up to one of the seats and interact with it to hop in and unlock this achievement.

- Defeat Bertrum.
Story progression achievement.
Pick up the axe that was inside the crate with the audio log that began this fight.
The boss' weakpoints are revealed when it slams one of its arms on the ground and circular joints light up. Destroy all four joints on all four arms to finish the fight.
The outside perimeter is completely safe, so take your time and this fight won't cause any trouble.

- Listen to All Audio Logs in Chapter Four.
(Achievement is currently bugged and unlocks based on whether you've listened to 6 or more logs in chapter 3.) Fixed in v1.5.1.0
Audio Log #7 of 7
Inside Maintenance. Follow the Projectionist around the room to find this audio log in the back left corner.

- Take a Photo at the Photo Cutout.
In the upper area of Maintenance is a cutout and a camera. Stand behind the cutout and aim the crosshair at the camera. Wait for the camera to flash and unlock this achievement.

- Restore Power to the Haunted House.
Story progression achievement.
Complete all the sidetasks required to open the Haunted House.

- Complete Chapter Four with the Plunger.
Don't enter yet the Haunted House after opening it.
Instead, return to the upper area of Maintenance to find a trunk on the ground (it's near the switch) that you couldn't open previously. Inside is a dial.

Now proceed with the game until the boss fight. Use the dial you picked up on the right side of the machine to swap it with the existing dial and turn it so it spawns plungers.

There are three phases to this fight.
First phase - Boris will follow you and charge at you when you're further away. After a few dodges, he'll grab his chest and a glowing ink blob will appear. Pick it up, deposit it in the machine and make a plunger. Pick it up, sidestep the boss' charge and hit him with it to proceed with the next phase.

Second phase - After Boris the first time, he'll drop another ink blob. Use that to make a new plunger (each plunger only lasts one hit). Meanwhile Boris will fly up and slam at you from above. You'll be relatively safe as long as you keep moving even if you get hurt. In this phase, Boris can be hit whenever he's on the ground.

Third phase - After the previous hit, Boris will drop another ink blob. Use that to make your last plunger while Boris prepares his final attack. He will pick up carts from the back of the room, walk to the middle and throw them at you. These must be dodged as getting hit is an instant death. Dodge three and Boris will weaken where you can go in for the final hit.

- Found Boris.
Story progression achievement.
Unlocks at the start of the boss battle.

- Collect all the Bacon Soup in Chapter Five.
Collect all 7 cans of Bacon Soup in this chapter.

• 4 of 7 are in the room you start in
  
• 3 of 7 are in Administration (1 on a bench near Joey Drew's office; and 2 in the small room opposite)

- Discover what's living below.
Story progression achievement.
After beating Sammy, you'll be swarmed by infinitely respawining enemies.
To end the battle *you* (not your allies) must kill 25 enemies and clear out the current wave.

If you are having trouble with Sammy, jump onto the oil drum by the "THE CREATOR LIED TO US" message and he won't be able to hit you.

v1.5.1.0 changes for harbour battle:
45 → 25 player kills to end battle
3:00 → 2:30 for Aggression
100 → 15 ally kills for Goldbricking
It's possible to unlock all three achievements in the same battle if you're quick.

- Bathe in violence.
During the swarm battle after beating Sammy, you must end the battle in 2:30 without dying. This means killing more than 25 enemies in 2:30.
Since it doesn't matter which enemies you kill, try to prioritise Searchers as they require fewer hits to kill.
Again, I've read that you can force close the game immediately to retry the battle, but you still cannot die as the game saves upon death. Would be easier to backup your save prior to starting this battle.

- Let others do the work.
During the swarm battle after beating Sammy, you must let Alice and Tom kill more than 15 enemies before ending the battle.
You can stand on the oil drum on the left side again and wait a bunch of waves without worrying about damage. The first four waves are 10 enemies each, plus 3 miners on the fifth, before the cycle repeats.
The achievement will pop as soon as your allies kill 15 enemies.

Audio Log #1 of 5
After the swarm fight and falling down the totally-safe pathway, enter the room marked "Film Vault". The audio log is in the room on the right.

- Take a longer walk.
You need to complete the pipe puzzle to open the vault door without being seen by the Butcher Gang who patrol the Administration area.

The easiest way to do this is to save and reload between trips into Administration. The Butcher Gang's pathing will reset, meaning you can follow the same steps for all three pipe pieces. This method only works on the first playthrough, as there is no saving in chapter select.

Before starting, make sure you know where the time clock, pipe spawner, outhouse and pipe puzzle are located. Also back up your entire save, as apparently this save point is quite buggy.

1. Save your game at the time clock.
   
2. Quit to menu and continue your game.
   
3. Walk to the entrance of Administration and wait for Piper to walk past. He'll walk past from left to right.
   
4. Follow Piper until he turns a left corner, and enter the room on the right. There's an Audio Log in this room, but ignore it for now.
   
5. Stand in the far corner of the room beside the desk with the audio log and wait for Striker to walk past your room. He'll come from the right.
   
6. Continue walking down the corridor in the direction you were going previously and follow the hallway, ignoring all the rooms.
   
7. As you turn right after the long hallway, you should see Piper walking left into another hallway.
   
8. Walk past him to an ink pool with an ink blob.
   
9. Grab the blob and backtrack the way you came, all the way back to the audio log room.
   
10. Wait in the same corner for Fisher to walk past.
    
11. Walk back to the entrance of Administration and toss the ink blob into the pipe spawner.
    
12. Make the piece you need, pick it up and quickly hide from Bendy in the outhouse.
    
13. Once it's safe, place the pipe in the puzzle and repeat from step 1.

You can skip waiting in the audio log room at step 10 if you are fast, but it's only a short wait and waiting seems the safer option.
The achievement will pop on finishing the pipe puzzle, provided you weren't seen.

Ashie-Pie wrote in the comments a method that doesn't require save/loading. I haven't tested it myself, but I didn't want it to get buried:

引用自 Ashie-Pie：

(You will be going clockwise to go - catch - return)
1st round
-Wait for Piper to pass by near the entrance and go to the left
-Wait x2 times for Striker then go and catch the ink globe
-Wait for Piper and Fisher to pass by while you are hiding in Joey's Office and go to the passage on your left (not the one you came from)
-Deliver the Ink globe
2nd round
-Wait for Piper to pass by near the entrance and go to the left
-Wait x1 time for Striker then go and catch the ink globe
-Wait for Piper and Fisher to pass by while you are hiding in Joey's Office and go to the passage on your left (not the one you came from)
-Deliver the Ink globe
3rd round
-Wait for Piper to pass by near the entrance and go to the left
-Wait x5 times for Striker then go and catch the ink globe
-Wait for Piper and Fisher to pass by while you are hiding in Joey's Office and go to the passage on your left (not the one you came from)
-Deliver the Ink globe

- Found a new way through.
Story progression achievement.
Solve the pipe puzzle and open the door to the vault.

Audio Log #2 of 5
In Administration, enter the room directly in front of you as you walk down the first hall.

Audio Log #3 of 5
Exit the room with Audio Log #2 and turn left down the hallway. Inside first room on the right is Audio Log #3. This is the room you used to hide in for "Valued Employee".

Audio Log #4 of 5
Continue down the hall from Audio Log #3 and enter the next room on your right. Inside this long room is Audio Log #4.

- Listen to All Audio Logs in Chapter Five.
Audio Log #5 of 5
Next to the ink pool where blobs spawned is Joey Drew's office. Inside is Audio Log #5. There's one more audio log in this level, but it cannot be missed and doesn't count for achievements.

- Say Hello to an Old Friend.
Facing Joey Drew's office, walk down the hallway on your left. Enter the room on the right to find the poster on the left wall. You can actually see the poster if you look through the window next to the ink pool.
Note: I'm unable to confirm this myself, but Nicci adds that you can only go through the poster after walking through the "Film Vault" door and getting the "Search the Vault" objective.

- Find the Radio in Chapter Five.
Enter the Vault proper and open the (closed) box on your immediate left. Inside is the radio.

Audio Log #6 of 5
When you finally reach the Ink Machine, wade across the ink pool and into the machine. Follow the linear path to this unmissible log.

- Complete the Main Story.
Story progression achievement.
Beat the game and watch the epilogue. The achievement will right at the end.

- Find out where you belong.
Load your completed save slot in the main menu and go to Chapter Select, then choose Chapter ?: The Archives.
Turn to your right and you'll see find a spot for a Henry Stein exhibit. Stand on it and to unlock this achievement.

- Collect all the Bacon Soup in the Game.
This achievement will unlock automatically when you have the five individual achievements for collecting all the Bacon Soup in each chapter.

- Listen to All Audio Logs in the Game.
This achievement will unlock automatically when you have the five individual achievements for listening to all the Audio Logs in each chapter.

- Find all the Hidden Radios in the Game.
This achievement will unlock automatically when you have the five individual achievements for switching on the hidden radios in each chapter.

- Find theMeatly in All Chapters.
This achievement will unlock automatically when you have the five individual achievements for finding theMeatly in each chapter.

- Visit Heavenly Toys during Ink Demon's Eve

According to the dev, Ink Demon's Eve runs from October 23-31 every year. Otherwise just do what the description says. I started chapter 3 and played through the opening section with Boris until reaching Heavenly Toys and the achievement unlocked soon after.
Some more info about the room[bendy.fandom.com] in case (like me) you can't remember anything about the game.