I enjoy playing Shooting and Strategy games the best. I usually play shooting games on my xbox 360 and the strategy games I usually play on my computer. But I do play some action and survival games too whenever I get the chance. And maybe even some sports games like Fifa and racing games.
I wouldn't consider DotA an RTS. I know it's classified under that probably, but to me, that's not pure skill like Starcraft 2 is; which is a pure strategy game.