Action/Adventure, with Zelda on one end, Uncharted at the other, but basically everything here is good.
Then, Construction & Management which I guess is a subgenre of simulation, with a SimCity 4, Anno and Rollercoaster Tycoon. Sadly the last good game in this genre is at least a decade old (with the exception of maybe Cities: Skyline, need to play that), but I'm happy to replay everything until the end of time if need be.
Third, 3D Platformer, which is almost solely Mario, but it does it well.
After that there's RPG, 2D Platformer and Puzzle which are pretty mixed, some games like KotOR, Yoshi's Island and Layton respectively are terrific while others are not. As a rule of the thumb I'd like to keep it simple, I always say "if there's too much numbers on the screen, I won't bother". Then, there's genres I don't really like but there's still a good incidental game or series, like Racing with Mario Kart, FPS with Call of Duty (the first two) or Fighting with SoulCalibur.
