I am currently playing Lord of the Rings Online, which is an MMORPG that you pay monthly to play online with lots of other people.
Offline I enjoy The Sims & The Sims 2, Zoo Tycoon & Zoo Tycoon 2, Civilizations 2,3 & 4, Sacred Gold, Oblivion, Diablo 2, Sim City 4, Sea World Tycoon, Fish Tycoon, Titan Quest, Dragonshard, Dungeon Siege 1 & 2, City Life, Dogz, Fable...
Yeah I play a lot of games and spend way too much time on my computer. I go gung ho into a game for like 2 weeks and then I move on. I rarely actually finish any, but I do have fun going back to old games to replay them =)