I can't really think of an anime with 'proper' Kemono? (going by what Kemono is in the manga scene, and what majority posted here). There's certainly funny animal/talking animal (like Keroro Gunsou), and '10% furry'/'animal heads'/anthro/american-style like the TMS-produced shows made for the West…
They're more a mascot form, but maybe Jewelpets?