I've never seen a character that's anything like me. At least none comes to mind off hand. In most manga series, the main character almost always has trouble getting the girl/guy or is oblivious to the fact that the girl/guy likes them. Personally, if I go after a girl I usually get her. There are times when I don't know that a girl likes me because she never talks to me. Recently, my sister told me a couple of the girls she knows thinks I'm hot even though I've never spoken to them. Aside from romantic BS, I'm not an idiot like many main characters. I guess I'm getting off topic, though.
I really don't care what the character is like, so long as it's entertaining. For a lack of better words, I think actively looking for manga characters that resemble me is pathetic. It's hard to explain, but I guess I'm satisfied with the way my life is and don't care to fantasize about what ifs. The only loophole for that is super powers. If I was invulnerable or something neat like lugia devil fruit powers from One Piece, I'd likely go for the unoriginal world domination and force space exploration and the like. They're usually just fleeting fantasies that end with me ruling over what tax money is spent on. Or how I could collapse civilization by doing something like forcing the magma chamber under Yellowstone National Park to explode. Not many anime characters do that though
I guess I'd prefer characters that are nothing like me since that's all I ever see. Not many characters are as deranged as me or the way I think. Take a peek in my head and your head would explode. Or you'd sneeze your brain out.
Rant rant rant blah blah blah. I never stay on topic for very long