I'm all about RPGs. I tend to play a lot of them, including Dragon Age of course, but also Mass Effect if you want recent stuff (and Persona 3 and 4 on the PS2, for example). But I've been playing these games since the beginning of the 90s so I've played a lot of the old classics too (Planescape Torment, yeah!).
Other than that, I enjoy some simulation and strategy games (city builders and the like, to an extent).