Some kind of storyline is a must, i dont really like arcade games.
I just played Land of the Dead, which I loved for several reasons: although it was a FPS, it was not hard to find my way around, i did not ever get lost or not know where to go, i **** that in games like doom. I also love horror and blood and zombies. And of corse i love to blow stuff up!
I also love thinking games like Scratches, Phantasmagoria and Shivers.
I like to solve puzzles in games like The 7th Guest or The 11th Hour.
There used to be an old Sierra game called Dr. Brain and The Island of Dr. Brain, those were a blast.
Good graphics are not really importaint, although i dont want to feel like I am playing Atari! Horror is the best, but really im just looking for a fun game that me and my girlfriend can play while the baby is sleeping.

If you like puzzles… any game in the Myst series is great. The graphics aren’t all that great (mostly stationary images), but the puzzles are amazing.
zombie game- dead rising
action/puzzle game- prince of persia
Knights of the Old Republic is a great game that combines a killer storyline, good graphics, puzzle solving, and strategic fighting: get them both!
If you want a good FPS buy Halo, it has a bunch of online players, so it should never get old.
If you want to waste hours of your life on a great game, try Civilization IV: the most addictive strategy game of them all. Big time thinking game.
If you like sandbox play, look for Sid Meier’s Pirates! You get to cruise the carribean in your own fleet, but without Johnny Depp.
If you just want to do whatever you well please, and don’t mind micromanaging peoples’ love lives you can play the Sims 2. Make your own story.
Clive Barker wrote a game called Undying. If you like horror..Check this out! Best horror game ever!