Some of the Storm8 games are cross platform socially aware - that is multiplayer, but turn based and not realtime.
That includes (at present): World War, Racing Live, and iMobsters
There are more on iPhone, which Storm8 look like they may be porting.
They all follow this same sort of format;
Genre - Credit/Turn based Strategy
Tech - Multiplayer over the net. Social.
Basic Idea - Perform tasks, gain money, XP, items, buy items, improve stats, upgrade stuff, be the best.
Perks - Fits around your lifestyle, Casual
Platforms - iPhone, Android