Bear with me
Giants: Citizen Kabuto
Stories: The Path of Destinies
Ultimate Fishing Simulator - does it fit to your description?
This list would be a nice sale suggestion for Gog.
Out of curiosity, the bear of "Bear with me" is alive or is a talking puppet?
In Giants: Citizen Kabuto what animals are there? Or are they aliens?
I'll add Stories: The Path of Destinies and Ultimate Fishing Simulator right away!
Kabuto is a monster. As you wrote "A creature can be considered an animal" i thought this may fit your description (?), because a monster could be considered as a creature. But i guess, that this game doe not belong to your list, as its much more a monster, than an animal.
Bear with me: well, to be precise, the protagonists are all ... toys. But: those are a bear, a shark, a pig etc .. And as you play the bear sometimes he is very much alive and talking. One would not have the impression that it is a toy.
But yes: if you are looking for animals in the literal sense, then that is certainly a gray area.