Maybe not your sort of thing, but series such as 'Pokémon', 'Digimon', 'Monster Rancher', and even 'Flint the Time Detective' have a number of anthro creatures in them. I'd recomend them all, apart from 'Flint the Time Detective', really. Many dismiss these series as silly kids' programmes, but I personally think they're wonderful.
Some episodes of the different 'Tenchi' series, and at least one of the movies, feature an anthro lion who works as part of the space police.
Other than that, and the ones that have already been mentioned, I cannot think of any more. On a related note, a while ago, I started collecting names of anime series and movies that feature Dragons in. Due to my location, we don't get much anime here at all, and so the likelyness of me actually seeing any of them is slim. Here's the list I got, anyway.
Dragon League
Dragon Drive
Dragon Century
Dragon Chronicle
Dragon Half
Dragon Pink
Dragon Rider
Spirited Away
Record of Lodess War
Dragonslayer
Dragonknight 4
Gokudo