Rabbits, otters, sun bears, jackals, and llamas give their corresponding animal skins used to make the temple offering

Mythical beasts like Bigfoot and yeti give jasmine .

All creatures give mush when you kill them; amount depends on the type of animal.

Eve (if she counts) gives dreadlocks, apple core, or bullet casings, which are used to craft wisdom.

There's probably more; but I don't know of them.