For one i would say any sims game?
Some good online avatar based games are Zwinky, Fantage and Second Life. Another good online avatar based game is Habbo.
second life is good
There are many websites you can go to, to find out about online avatar games. You can just search the web and it will take you to several avatar games online, and some of the websites allow you to create your own avatar in 3-D.
At the website addictinggames.com you can find avatar games for free. Go to the website and search for avatar. Then pick one that looks fun and play it!
Some games that give you avatar rewards include Splosion Man and the Halo add-on, Halo Waypoint.
poptropica
Nintendo Wii!
Well theirs clubpenguin, YoVille, FarmVille......... that's all i got.
halo 3, C.O.D world at war,C.O.D modern warfare 1 and 2 and avatar
imvu.com is a good one
Clubpenguin
www.Weeworld.com is very fun try it.