I like anime, although I wouldn't say I'm obsessed. (My current obsession is pet rats and X-entertainment.com). I do like the exaggerated facial expressions, maybe because I can understand them better but also because I like the art behind them. I enjoy the types of characters in anime better than the ones in American sitcoms. I feel like I can relate to anime characters better, such as Osaka and Sakaki from Azumanga Daioh.
I do agree that anime has become a somewhat acceptable obsession. (More acceptable than obsessing over a specific animal, which I often get weird looks for). However, I also notice that non-anime fans tend to scoff at anime fans, as if the anime fans are a ridiculous excuse for humans. The ridicule is usually playful, however, rather than the type of ridicule that completely rejects someone. I've noticed that most people either love or hate anime, and there's seldom anyone who just thinks anime's okay.
My sister is really into anime, and I do believe she is an aspie as well. Other anime fans are about the only other people she can socialize with (though that’s not the only reason I think she’s an aspie).
I don’t think aspies are predisposed to enjoying anime in particular, but I can see why some aspies would. It’s a perfect medium for feeding an obsession, since there is just soooo much of it out there, plus it offers a fantastic avenue to socialize. Extreme anime fans tend to eat, breathe, and sleep nothing but anime – a dream come true for the aspie-anime-fan – it’s actually acceptable to talk to about their obsession nonstop!