I love good puzzle games. But I also get into racing games (Burnout fan), some RPGs (Diablo II, BG Dark Alliance), Fighting games (Virtua Fighter, Mortal Kombat, Dead or alive, Soul Calibur) , Classic arcade games (from the 70/80s), certain flight/piloting simulators (Crimson Skies, MechWarrior), First person shooters (Unreal Combat 2003, Medal Of Honor, etc.)
Platformers are my least favorite - I usually get into the game and can't get past a given point because of some wildly difficult timing that must be done...