Facebook games run on integrated graphics, otherwise older titles that are happy with 64MB of shared memory and Intel or low end GeForce Integrated GPU like 6150SE. If you looking for something more exciting than slot machines and farmville, I'd look at older titles. Good FPS on integrated graphics is Unreal Tournament 99, and most games of the 2005 and older era will run on integrated without too much trouble.
What do you have for an integrated GPU?
