Well, I know of only one. As I am trying to find more too. The one I know is called WolfQuest. Its very good and I recommend it 100%
There is also a new wolfquest coming out: Slough Creek.
Added: Jade Wolf
Wolf Quest
One is called Wajas it is like a wolf/dog breeding sim game
yes,there is wolfquest,your a wolf and you need to find a mate and raise your pups, there is wolf online, web earth online, well, web earth online you have to start as a bluebird and you get more and more animals as you go... and final one is secondhand lands where you have the lycan option and wolf option
animaljam,clubpenguin,pandafu,animalplanet,and natgeowild
You can be a wolf in Wolfquest but that is the closest thing I know to a game where you can be a dog
yes there is wolf quest go to wolfquest.org you find a mate have pups and live a life as a wolf
There is Big Bad wolf where you count and yell here i come and chase the young children around. it is much fun, my friend
Feral-Heart Be a wolf or a Lion- or Wolfquest. Also coming soon: Arokai, You can be a wolf lion tiger, deer Gryphon, bear...almost anything. Even an owl.
Wolf Quest, Feral heart, Arokai, Endless Forest
I would suggest WolfQuest, which is completely free that you can download at wolfquest.org
Animal Jam
well there is a game called wolf quest where you play as a wolf and try to survive. but its for download. its really fun though. you can play in single player or multi-player. there is also wolf home online. they're both for free.