What do you look for in games?

I've always known, for me, what makes a game good and enjoyable is its story. But recently I've come to realize a good soundtrack for the game can help as my second favorite quality.
 
So what kind of a quality in a game do you look for? Do you look for preciseness in a shooter, or maybe the story and atmosphere like me? Or do you just care about how good the game looks with graphics or art style?

EVERYTHING.

Naked ladies :P.

Fun.

This may be stating the obvious, but the primary thing I usually look for in games is good gameplay. I don't care how great the graphics or story are, if it's not fun to play I won't trudge my way through it just to see what happens next in the story, or gawk at how pretty it is. That said, a great atmosphere can put what would otherwise be a merely good game to me over the top. There's nothing better than when a game can immerse me in its universe with things like attention to detail in the environments, lighting that sets a certain mood, or ambient sounds that make me feel like I'm in a living, breathing world.

A good story mostly. It also helps if the game is really fun.

A story that isn't atrocious, graphics/ art style, innovation or refinement, and gameplay. Gameplay is only probably 40 percent of why I play a game.

Any of these, I suppose (not necessarily in order):
 
Interesting characters
Interesting settings
A sense of progression
An appropriate learning curve
Problem/puzzle solving
Exploration
Well thought out game design  
Nice visual style
Challengeing but fair gameplay
Emotional (in any sense)
Functional and lacking in bugs/glitches/technical issues.

gameplay

Depends on my mood or if I just bought a new game I'm into. That can cover a wide range of games. Right now I've been playing Super Mario 64 on the VC. I think I'm just bored waiting for my Xbox 360 to get back from the shop, so I can play some more Red Dead Redemption.

Polygons. 

" Polygons.  "

A good story and memorable music. 

Gameplay and multiplayer.  I like good competitive games, but sadly there hasn't been any for a very long time.  Next on my list would be RPGs, and after that is coop games.

" Gameplay and multiplayer.  I like good competitive games, but sadly there hasn't been any for a very long time.  Next on my list would be RPGs, and after that is coop games. "

Great multiplayer.

I tend to want a experience that doesn't always look like everything out there, and fun gameplay mechanics.  I also like original concepts.  Online multiplayer also usually impacts how fast i pick up a game, just for the fact that i want to play it with a crowd.  Graphics don't always have to be photo real, a lot of times I just like creative looking graphics that don't look like everything else out there.  In the end there is a lot to look into when investing $50 - $60 for a video game these days.

" Great multiplayer. "

I'm an easy man to please when it comes to games. Graphical or audio excellence isn't a must for me, though they help. I care more about my initial reaction to the art and art direction as a whole. I'm also terribly nostalgic, which I guess is what happens when you get old. Which is why I downloaded the new PSN Rocket Knight game as soon as I saw it, played one minute of the demo, then bought it. I'm also a sucker for rare gameplay styles, for example Heavy Rain.
 
I guess above all I just look for solid gameplay, creativity, and no "cheap AI" shit. You know, like the rubber banding in Blur. Fuck that shit.