Here are some thoughts from my personal experience on PvE official. I'll comment on the tames that I've used so far.
Bear
It's too good right now (please dont hate). It's a fiber, berry, sap, meat, hide, treasure, cargo multitool that you want to have at least ~10 of in your base. Improve some of these qualities on other tames that feel less useful now and make them slightly worse on the bear. Give us an incentive to tame something other than bears for different purposes.
Chicken
Good egg machines as they are.
Cow
Cows are fine as the milk machines they are.
Bull
Make it a a cargo tame with the cargo harness. Even better than elephants or elephants will remain as the cargo tame.
Crow
Int buff function is fine imo.
Razortooth
Shieldhorn
Elephant
Stamina is super annoying, so we've turned to running two elephants all the time. Jump on the other when the one you are using is out of stamina and let it rest. Repeat until both are full of wood. I don't mind this, but I feel like this is not intended. Make of this what you will. Improved stamina regen might make it too op... or would it? I'm not sure.
Giant Pig
Giraffe
Bird's eye perspective choice? (Like if I climbed up it's neck :D) For adventuring and looking for discoveries. Allow to see discoveries while riding it?
Horse
Lovely travel mount, that I feel is well balanced. Do want to use cargo harness on it as well, but make bull better at this function. Horse maybe faster but able to pull less weight.
Lion
Secondry skill: roar to make wild animals flee for a short time. Like a defensive skill to possibly save you or other tames nearby from a sudden attack of wild predators.
Monkey
Ostrich
Thatch machine maybe? Something needs to be a thatch machine.
Parrot
Penguin
Rabbit
Rhino
Good stone machines, but stone building has it's other issues with metal and paste. Half the time rhinos are sitting in base since we are stocked up on stone very fast and end up bottle necked by metal and paste.
Seagull
Sheep
Tiger
Maybe tigers could better at keratinoid and wolves at hide? Or wise versa.
Vulture
Wolf
I feel like nerf hit them too hard or we managed to stock up too much hide / keratinoid before nerf and we haven't had the need to use them again since. They should def be the designated hide and/or keratinoid machines.