Well, there are quite some shows out there I think. My favourite show still is "Father of the Pride" (in Germany: "Ein Löwe in Las Vegas") as I love the humor and the characters. The show reminds me a little bit of the humor used in The Simpsons.
Mhh, the Care Bears qualify as furry, too, don't they? Well, that's another show then. The old Care Bears are quite good I think, but I just HATE the style and the look of this strange new series (from 2007 or something like that), it's just so, er, ugly, in my opinion.
These are the shows I'm still somehow in contact, but there are quite some more I think. Regarding movies, I don't know any one till now, sadly, but I'm always open for new suggestions.
Greetings,
RealZero