You haven't said whether it's an iPhone or an Android phone? Personally, I have Android. You also haven't mentioned what types of games you usually like playing? For me, it's racing games and shooting games mainly, though I do like some puzzle and arcade games. Two racing games I like are Redline Rush and Real Drift 3D. I'm not usually into zombie games but Dead Route and Dead Trigger are both good. For online multiplayer shoot'em up I like Shadow Gun.