I don't do Doodle games. Done with 'em. A "Doodle" in the title of your game will ensure that I will not purchase or play your game.
I hate it when Dev's copy successful games. All the jump games, all the Robot Unicorn Attack copies... It's like people remixing "I'm on a Boat" on Youtube. The original was epic, the rest suck. Sorry.
I don't do games in general cause you can never protect yourself from the amount of virus you can contract. Wearing a condom doesn't help all that much when engaging in stuff with your game devices.
I don't do Tower Defence games - erm, apart from Dungeon Defenders and Bug Heroes! Are they TD's anyway? Oh, I'm not particularly keen on turn-based RPG's either for that matter. As I found out with Chaos Rings to my considerable cost!
I'll try almost any game once if it's interesting, or cheap, enough. Though I've never met a dual-stick shooter I've liked. I also don't "do" running games--Canabalt has a great style but games based on pure reflex get old fast. And I can't get used to controlling iOS FPSes. The iTouch's miniature screen makes me long for a mouse and full-size monitor.