These achievements will follow the general progression order of the game.

Unlock the green science packs.

This one is pretty simple and easy, you can queue up multiple researches to be done in order so just queue up green science and let your research build up. You can also build multiple factories for the blue science, but make sure you've got enough resource production to fill them both up.


Connect a Habitat to the piping system.

This is one you can quickly follow from the last achievement. Simply build your green research production and queue up the Pipes research. Once its done just connect your houses to a pipe.
This can be very useful as it reduces the amount of trucks on the road once you connect it to the production stations. However keep in mind that connecting it to the production stations increases their power usage.


Reach a population of 500.

Just keep creating housing and fulfilling their needs, depending on what you focus on you can get this pretty quickly.


Replace a road with another road.

Once you have researched Concrete Roads, go to the roads tab and above the roads, far right of the bar is a button called "Replace Road". Click that and then click one of your roads to get this achievement.
I would suggest immediately upgrading all your main roads as these roads double the speed of vehicles on them compared to the gravel roads you'll be using at this point.


Unlock the yellow science packs.

This is the same as the green version, you can decide if you want to rush this or wait until you have a good chunk of the green research done.
It should be noted that you need organic waste(food processing), methane(in the darkish ravine on map) and motors researched in order to start producing yellow research, so it is advised to get them before unlocking yellow research.


Repair your first spaceship part.

First step is that you need to research Ship Construction. Next you'll have to build it(it is quite big and ideally you want it near your production sector). Next on the left sidebar click the second from the top that says spaceship. Select one of the parts of the ship to repair, each requires different resources. Then you just have to wait for your colony to bring all the resources you need. Once all the resources are in the building, it will start to produce the part and the achievement should pop once thats done.
At this stage you should be able to make the Bridge, Passenger Deck, Storage Deck and Thermal Systems.


Build and operate your first gondolas.
The way gondolas work is that they connect 2 of the buildings in a straight line to each other. So pick a resource you have on a hill and place a gondola on the hill next to your resources, then place another one below the hill, this can be just below it for the achievement or you can have it near your production sector so that you can move resources across without cars.
Note that if there are roads they sometimes will just ignore the gondolas, so just remove any roads connecting the resources you want to move via gondola from your main road system.


Build and operate your first train line.

For this achievement you'll need a good chunk of concrete and steel if you want to make it properly, if not you'll still need a little bit. First thing you need to do is place 2 train stations, then connect the lines with rails. Once you have a closed loop go to the train lines menu on the left hand side. Create a train line the click the plus on the right to add stations to the line, click all your stations to add them in. Add the amount of trains you want going through the line and once it starts up you should get the achievement.


Reach a population of 2000.

Same as village milestone achievement, just keep expanding housing and fulfilling their needs and you should get this.


Two-hundred of your Habitats downgraded in a single game.

This will come naturally as you production fluctuates and your housing loses access to the materials needed to maintain their levels. If you want to get it faster, let them all hit a level up, then remove all roads connecting the housing to your production, then when it levels down reconnect it.


Destroy 30 objects with the Laser Cannon.

Once you've rebuilt the ships laser cannon, place a laser targeting station. Then click the icon at the far right of the bottom bar, and from here just click objects you want to destroy. The yellow pillars and rocks around the ore deposits are good targets to get rid of.


Generate 10000 Power.

Just keep expanding your power network, you can either wait for nuclear power or just use methane plants as they're easy to expand.


Improve a Habitat to its maximum.

To do this you will need to complete the needs of school and vr edutainment and then you will get this achievement.


Build your first power-up building.

This achievement relates to the recycling or industrial robots research. You just need to research one of them and then place the building near the type of building they buff.


Unlock the red science packs.

Same as the other research tiers. For this you will need ai control units and radiation cores.


Reach a population of 5,000.

Same as the other population ones, just keep adding housing and what is required to upgrade it.

These achievements can be completed at any point in the game.

Use districts for the first time.

This one can be done at any time. Simply go to the bar on the left and select the one that has a box with a dotted border in it. Then draw a circle with one of the paintbrushes at the top. Once complete simply unclick the paintbrush and click the district you made and the achievement should pop.


Destroy fifty buildings in a row.

Make sure you have at least 500 concrete ready, then just go away from your settlement and click and drag to place 50 houses (you can check by seeing if you have gone down by 500 from your original amount of concrete). Then just use the destroy tool to get rid of all of them.


Build a sign.

In the decorations tab at the bottom of your screen there is a sign you can build in there, place it and you get the achievement.


Place thirty pixel buildings.

Once you have unlocked the pixel buildings at the top of the tech tree, just place thirty of them.


Place the statue with mysterious origins.

Once you unlock decorations, find the "statue founders fortune" in the sights tab and place it down.


Unlock all the buildings in the "Decorations" category.

The very top row in the research tree are the ones you need to unlock for this achievement.