I don't think I can really vote on this one.
I don't have a problem with such races, but
1) Don't call them furry. That makes them look bad. I promise I won't link to Something Awful ... yeah, that bad.
2) I think the number of species should be limited. I don't mind if kattas (or whatever) are commonplace, but not kattas, badgermen, dogfolk, quillfolk (porcupine people), pandarens and dozens of other types.