Im all about more casual experiences. Stuff to play while I'm waiting for someone, or just fill in general time. That said, many 'arcade' games fill taht space for me as well. Anythign taht I can jump in, have a great time for a couple of minutes, then pop back out. I dont like getting drawn into a time investment heavy title on a mobile platform personally.
I think my top three favorites would be casual, role-playing games and stratgy games. I voted for strategy games. I'm really enjoying games like Plants Vs. Zombies, Trenches and Castle Conflict. They're great for a few quick games or longer play sessions. You have to constantly be focused so it keeps me engaged. They're fun and challenging!
