A game to play as an animal neither jaws unleashed and wolfquest

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

Anyone can add on. ;)