Universal Videogame List - www.uvlist.net

I'd say just stay with the tag "anthroprotagonist" for those games. Can't help with better names if you want to split it down further.

I meant for cases where the creatures themselves occur, not as protagonists specifically. Much like we have robots, aliens, wolves, ninja, etc. so far.

werefolk? as in werewolf, werecat, etc. Although this implies the creature is, was, or will transition from human to animal. I don't think this is what you meant.

Anthropomorphic implies some sort of cartoonish reason for animals behaving/looking more human that does not need to be explained. I take your description to mean explainable creatures that look humanoid. Even if they are not given any specific explanations, it can be assumed that they have the equivalents of ecology, biology, psychology, physiology, DNA. I mean, no one expects bugs bunny to have internal organs until its needed for a joke, nor do they expect him to age. Its also expected that his internal organs won't look or function the same from one viewing to the next; they'll match the joke even if it means changing them. But, these are things people would assume to be true about Homo Satyrus.
The only things I can come up with is AnimalHumanoid

Yeah, were-prefix has that flaw. Anthro~ on the other hand doesn't really mean exactly the same thing as what people call "funny animals" like Bugs Bunny, but refers to animals (and objects) with human traits in general. Says nothing about being cartoony or anything, but that unfortunately seems to be the common interpretation of it as it is probably the most common use for it, too (though many things in say Alice in Wonderland, Wizard of Oz and Narnia do fall under anthropomorphic, this fact seems to be missed by most people). Like the Ents and Huorns in LotR are anthropomorphic trees :)

I'll go with the -men postfixed names for now. We can change it later with mass tag edits done by Andrea if better ones are found.