There's Word with Friends, Hanging with Friends, Chess with friends etc But what other games- asyncronous or non-asyncronous.
Too much said; there's no g Alot of fps games; cod zombies, eliminate, and I think all gameloft ones. Idk if mc2 works? Any multiplayer game that uses gamecenter for multiplayer
Adding: Fishing Joy on iPad. You can choose v.s mode to play with your friend on your ipad, and the screen will be split half, one side for you, another side for your friend, really fun. But I find this v.s mode is stupidly easy without any challenge.