I don't want to disappoint you or anything, but finding the girl you described in the real world is almost impossible. I myself too wish to meet a woman that's smart, open to new horizons. Like if I tell her I watch anime she won't go all lol-that's-wrong on me but will just say something like "Never watched any, maybe I should give it a try" or "Nah not my thing". I won't rub it into her, just so she knows about my hobby. I want to meet a woman with whom I can talk about classical music, deep space, and whatnot. Even if she doesn't know anything about a subject, I just want her to either try to inquire about it by listening to me or just her saying that it's her thing with a valid argument and not a phrase like "No that's so stupid".
I'm not even going to talk about appearance. I can't even imagine what my dream woman looks like since 3D pig disgusting, etc. And even if I aimed for a beauty in a real woman I don't think I'd find one that meets my criteria.
The solution is, I think, is getting a friend. Male or female, though I think you'll have more chances with a guy. The relationship will not be sexual.
Of course, finding the person takes work. Where do I start you may ask? Well, firstly : random encounters (sit on a bench next to person in the park and ask them how they're doing (if they're alone of course)) are a myth to me, at least where I live. Secondly, meetings in meeting-oriented places. By that I mean bars, cafe, clubs, etc. Possible but still very hard as you have to filter and it's very difficult to approach someone you don't know. Then thirdly and finally, meeting people through friend, in other words your friends' friends. Very easy way, may yield good results. You could even ask your friend about the person you're going to meet, for the sake of filtering.
I think the third method is the best, I'm going to try it out soon.