thumb only games: every game that is a fps, or requires your thumbs. casual games like FN and cut rope line drawing games are not really thumb based. so looking for a thumb based game is dumb; most games controls make you COMFTORBLE enough to use your thumbs. edit: if you mean thumb not thumbs don't really know, try playing high speed chase or board games. those you can probably do with one hand
i really enjoyed fastball 2 the last week, got to level 53 or so. now its almost impossible but you should try it. and any endless running games, rogue runner, monster dash etc.
If you're prepared to wait another day, I'd try push panic. It releases on the 18th and is a perfect one thumb game. Website link is in my sig. I'm not the dev by the way, I beta tested it and it's an amazing game
That's what I'm talking about. I checked the trailer and it looks really nice. Will get it for sure (do you know the price?)