Quick explanation on Stars; for every level of Condensation, a Star is added to the Pal, which increases various attributes. This includes their Ranch production, which can increase drastically. A Pal reaches full condensation - 4 Stars - by sacrificing 116 of the same kind through the Pal Essence Condenser. Alternatively, a Concentrated All Purpose Pal Extract (from Medal Merchants) raises the Star level once - best saved to reach 4 Star, since that level costs 64 Pals.

Caprity - Red Berries
*I'll gently suggest using the Plantations instead - but if you'd prefer the cute shrubbery, go for it!
0 Star: 1
1 Star: 1-2
2 Star: 1-3
3 Star: 1-4
4 Star: 1-5

Woolipop - Cotton Candy
0 Star: 1
1 Star: 1-2
2 Star: 1-3
3 Star: 1-4
4 Star: 1-5

Chikipi - Egg
0 Star: 1-2
1 Star: 1-3
2 Star: 2-4
3 Star: 2-5
4 Star: 2-6

Beegarde - Honey
0 Star: 1
1 Star: 1-2
2 Star: 1-3
3 Star: 1-4
4 Star: 1-5

Mozzarina - Milk
0 Star: 1-2
1 Star: 1-3
2 Star: 2-4
3 Star: 2-5
4 Star: 2-6

Sootseer - Bone
0 Star: 1
1 Star: 1-2
2 Star: 1-3
3 Star: 1-4
4 Star: 1-5

Sibelyx - High Quality Cloth
0 Star: 1
1 Star: 1-2
2 Star: 1-3
3 Star: 1-4
4 Star: 1-5

Dumud - High Quality Pal Oil
0 Star: 1
1 Star: 1-2
2 Star: 1-3
3 Star: 1-4
4 Star: 1-5
*Dumud Gild has the exact same production, but every level includes a 20% chance to make Gold instead.
0 Star: 100 Gold
1 Star: 100-200 Gold
2 Star: 100-300 Gold
3 Star: 100-400 Gold
4 Star: 100-500 Gold

Kelpsea - Pal Fluids
0 Star: 1
1 Star: 1-2
2 Star: 1-3
3 Star: 1-4
4 Star: 1-5

Cremis and Melpaca - Wool
*They both have the exact same rates
0 Star: 2
1 Star: 2-3
2 Star: 2-4
3 Star: 2-5
4 Star: 2-6

Lamball - Wool
*I'll gently suggest using Cremis or Melpaca if given the option since they provide more - but, have fun!
0 Star: 1
1 Star: 1-2
2 Star: 1-3
3 Star: 1-4
4 Star: 1-5

Flambelle and Kelpsea Ignis - Flame Organ
0 Star: 1
1 Star: 1-2
2 Star: 1-3
3 Star: 1-4
4 Star: 1-5

Caprity Noct - Venom Gland
0 Star: 1
1 Star: 1-2
2 Star: 1-3
3 Star: 1-4
4 Star: 1-5

Unfortunately, there are no ways to Ranch Electric Organs or Ice Organs - just wanted to mention to avoid confusion!

Since Vixy can provide a unique variety of things, these get their own section!
(Percentages are rounded to the nearest whole number, so that's why a Star Level may not add exactly to 100%)

0 Star:
Pal Sphere - 1 (~60%)
Arrow - 1 (~24%)
Gold - 10 (~12%)
Bone - 1 (~5%)

1 Star:
Pal Sphere - 2 (~59%)
Arrow - 1-2 (~24%)
Gold - 20 (~12%)
Bone - 1-2 (~6%)

2 Star:
Pal Sphere - 2-3 (~47%)
Mega Sphere (Green) - 1 (~11%)
Arrow - 2-3 (~24%)
Gold - 30 (~12%)
Bone - 1-3 (~6%)

3 Star:
Pal Sphere - 2-3 (~35%)
Mega Sphere (Green) - 1 (~18%)
Giga Sphere (Yellow) - 1 (~6%)
Arrow - 3-4 (~24%)
Gold - 40 (~12%)
Bone - 1-4 (~6%)

4 Star:
Pal Sphere - 2-3 (~21%)
Mega Sphere (Green) - 1 (~32%)
Giga Sphere (Yellow) - 1 (~9%)
Hyper Sphere (Red) - 1 (~0.5%)
Arrow - 4-5 (~21%)
Gold - 50 (~11%)
Bone - 1-5 (~6%)


Mau and Mau Cryst
They also provide Gold in the Ranch. However, I'll gently add that there are plenty of other ways to earn Gold - but, have fun! It's a nice little extra if you want to spend the space on them.
Both have the exact same rates.
0 Star: 10
1 Star: 10-20
2 Star: 10-30
3 Star: 10-40
4 Star: 10-50

Since some Pals may only be helpful to a certain play style, I figured I would mention some specifics. Of course, I'm not a hardcore mathematician, nor a max-optimization player. These Suggestions are just here for anyone who might be curious. Have fun and explore your options as you'd like!

Sootseer's Bones are only used in making Cement and various Medicine productions. (And for the Mega Glider!) The only thing that needs repeated Cement production are the Hyper, Ultra, and Legendary Spheres. (Pink, Red, and Purple.) However, Bones can also be bought. If you have no interest in Medicine or these Spheres, having a constant stream of Bones may not be as helpful. It does take a lot of Cement to set up bases with good utilities though - so it's a question of how patient you are to wait for Sootseer and how much Gold you have to spend on Bones.

Woolipop's Cotton Candy as a crafting material is exclusively used in Medicine productions. However, it can also be used as a non-spoiling food source that gives its consumer a little Sanity. (5 in both Sanity and Nutrition.) Keeping a stack in reserve can make it easier to handle Pals under high Sanity loss, as you can simply put them in your party, feed them to full Sanity with the Cotton Candy, and return them to the base. If neither of these sound helpful to you, you probably won't benefit from having Woolipop in your Ranch.

Dumud's High Quality Pal Oil is needed in a lot of repeated-use situations, including Bait, Cooking, and crafting Polymer for Weapons that need repair. (Unless you turned off Durability in World Settings!) The question isn't if you need High Q. Oil, but rather, would having a passive income of it help; a few different merchants sell it, including at Duneshelter and Fisherman's Point. The less biased you are towards Gold production, the more Dumuds there should be in the Ranch. The importance of High Q. Oil is hard to overstate.
*Side note, Dumud Gild doesn't seem to be very helpful; if you want Gold, there are definitely better ways to get it. If you want H. Q. Oil, then only getting Oil from 80% of Dumud Gild's drops will be notably slower than normal Dumud without much gain. It seems faster to farm the Gold and H. Q. Oil independently of each other.

Beegarde's Honey is only used for 4 things: the Stamina Remedy Medicine, repairing Elizabee's Staff or Beegarde's Spear, and baking Cake. If you don't have interest in any of these things, Beegarde's Honey won't be very helpful. Keep in mind, though, that Honey is only obtained either from a Ranch Beegarde, or hunting these Pals: Cinnamoth, Warsect, Warsect Terra, Elizabee, and Beegarde. It cannot be bought. Breeding Pals requires 1 Cake per Pal Egg, and one Cake needs 2 Honey. Having a Beegarde is incredibly helpful to Pal Breeders. (Although, it's easy to over-produce as well. Finding a balance in what works for you will keep your storage from getting over-cluttered with Honey.)
*For the Staff and Spear, it's what I can best gather as the use. I couldn't find any way to craft them, but they're still listed as relevant to each other. Apologies if incorrect!

Kelpsea's Pal Fluids are used in a large variety of things, including Medicine, ammo, and Cement. Plantations and other buildings can also require a lot. Only the random Base visitor Merchants (if I'm reading this correctly) sell Pal Fluids. I would highly recommend starting on Pal Fluids asap if you have room for an extra Kelpsea or 2. Gold can then be spent on more important things - not to say Pal Fluids shouldn't be bought.

Flame Organs are a resource that's needed in weirdly high amounts. (200 for 1 Gigantic Furnace!) While there are Merchants who easily sell them, the Gold is better spent on things that can't be Ranched, like the Electric Organs needed for Base structures. Having Flambelle/Kelpsea Ignis Ranching Flame Organs really helps save Gold, especially when started sooner and stockpiled like crazy.

Venom Glands are a different story. Unless you insist on using Poison Arrows or Dark Grenades, or REALLY need to line every inch of your Base with Antique Carpets and Chairs, Ranching Venom Glands will likely be unhelpful. This is because the only way to even get Caprity Noct is either on Feybreak, or breeding Tarantriss with Caprity. Reaching either of these before simply finding the Small Settlement Merchant is highly unlikely. Venom Glands are also not needed in anywhere near as much scale as the other Glands/Organs; 126 Glands craft every Pal Gear it's involved with, +7 if you want the Poison Bow and Crossbow.

This isn't mathematically calculated or a fully comprehensive breakdown, just things to consider about both.

High Quality Cloth costs 10 Wool to make 1, and it's a very common material in crafting (and repairing) high-level Armor, Pal Gear, and Large Pal Beds. It can be bought from the Caravan Leader, a random Base visitor that appears nowhere else.

2 Wool makes 1 Cloth, and Cloth is more often used on crafting (and repairing) lower-level Armors, Pal Gear (of varying levels), and cosmetic hats. Wool can be bought from the Small Settlement Merchant, as well as the green Wandering Merchants that randomly visit your Base. (If I'm reading that part correctly!)

Sibelyx produces High Quality Cloth faster than Cremis/Melpaca could possibly keep up with. However, Cloth is still a relevant part in plenty of crafting. What's worked for me is farming Wool until I get a Sibelyx, then switching my Wool Rancher out for the High Q. Cloth. By that point, I have a reliable enough way to get Gold, so if I need any Wool/Cloth, I can buy it.