Frankly, I think videogames belong in the art and entertainment section. Any expressive medium and all. Still, here we are.
There's a classification system called the Bartle Test; it serves to define what players look for in a videogame, and has been flipped around to describe what certain videogames have to offer (whether incidentally or by design). Considering this is essentially a measure of personal priorities, I'd not be too surprised to see a strong correlation with certain Bartle alignments and certain MBTI types (or at least temperaments).
Going by the theory, there are four essential types of gamers (which leads me to the temperament comparison):
Hearts - Socializers
Videogames are fundamentally an excuse or framework to spend time with people.
Potential archetypical game: Animal Crossing, Wii Sports
Diamonds - Achievers
Videogames are all about a feeling of accomplishment: beating that boss, building huge inventories, finishing every task, racking up tons of money or points.
Potential archetypical game: Gradius, Final Fantasy
Spades - Explorers
Videogames are all about visiting new places, trying out new theories, finding an alternate way of looking at life.
Potential archetypical game: Myst, Silent Hill II
Clubs - Killers
Videogames are all about showing how much more awesome you are than others.
Potential archetypical game: Street Fighter II, Halo
I'm being really sloppy and quick about this, but offhand I can see some possible correlation between Spades and NTs; Hearts and NFs; Diamonds and SPs; Clubs and SJs. Even if that's roughly true, of course, there's going to be a bunch of individual variation and nuance.
Significantly, this isn't so much about the particular games you like, but what you get out of the games you like. I am, for instance, a solid Spade -- yet I enjoy many fighting games to understand the theory behind them, and the at-times complex character interactions and storylines. The King of Fighters is excellent for this; it's the well that never runs dry. More hardcore players make fun of me because I can't stand to play fighting games competitively.
Likewise, I get a bunch of exploration out of scrolling shooters -- particularly horizontal ones like Gradius or R-Type, as they tend to present more of a journey than vertical ones.
So. To get to the point, it might be sort of interesting to state your type, give a brief list of your favorite games, and what you think your Bartle type tends toward. That is, what is it that you get out of these games? We'll see if any trends show up.
As for me:
I'm an INTP. My favorite games include Riven, the first two Zelda games, Simon's Quest, Silent Hill II, OutRun, Phantasy Star II, Shenmue, Metroid II, Half-Life 2, Asteroids, and recently Mirror's Edge.
My interest tends to lie in some study of cause and effect with the game's environment, and the way this plays on the player's psychology to create certain mental models of the world. Which, again, would place me pretty solidly in the Spade camp...