As a girl with AS, I find it very easy (usually, *stares at Okami for failing me*) to empathize and get emotionally involved with a game's story and characters, and can usually grasp the philosophy and lore of a game pretty quick. My problem isn't the social interaction part, because my problem with social interaction is that I learned the rules religiously and freak out if I get something wrong by accident without thinking, afraid of upsetting anyone: So in a game, pre-set choices social responses are usually really easy for me. However, I don't think I'd do well in an online game with lots of people trying to talk to me while I played. I've never tried, though, so I'm not 100% sure.
The main way in which my girl-AS effects my gaming is in puzzle solving. Mainly: I can't do it. My brain is literally incapable of that. So, games like Myst or Riven are completely lost on me unless I play with somebody else (and I try to do that, because I really do love those games). I even have to have a walk through at hand for Zelda's very occasional puzzle solving elements (e.g, in the twilight princess, moving around the 'chess board' to get the master sword).
I am however fine with the piercing clues together, like in Phoenix Wright.
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Give me the worst and then again..
..I'm feeling braver than I've ever been