Are there any games where you can play as an animal

There's a lot actually, you probably can't find them.

Here's the best I can do:
Feral Heart
Pokemon Mystery Dungeon Universe
Transformice
Skylanders
Dino D-Day
Istaria (Although it felt bland for me. You can only play 14 days as a dragon and then you have to pay)
DC Universe Online (If you take the shapeshifting path on Plants, you can transform into a bipedal wolf or a pterodactyl once you reach Level 4. In Level 6, you can get the other one.)
Legends of Equestria (Not Released)
Monkey Quest
Animal Jam
Endless Forest
Panfu
Fly Like a Bird 3
Web Earth Online (Although very laggy)
Wolf Quest
Anyone can add one :)