@nighphasmage there are only 5 beast races I encountered so far, wolf, cat, fox, bunny, tanuki.
You can find all of the available races when you start the game, I think you can actually select all of them as your starting race. In total it's 27 so far if you do not count half-races like half-wolf, half-cat, half-fox, half-bunny and half-tanuki