Shinji Ikari and Asuka Langley Soryu from Neon Genesis Evangelion. First of all they're two kids with serious mental issues, and I mean serious.
Shinji simply can't believe in himself, is afraid of relating with other people, has almost no courage in himself so every time he has to do something important or dangerous he becomes afraid of the bad things that can happen and when something bad does happen he always runs away from his responsibility and puts the blame on others. On top of all that, Shinji simply doesn't know his reason to live, he doesn't know what his purpose is or what he wants to do.
Asuka is just insane, she is extremely egocentric and proud of herself, so all the time she's trying to prove to the others how better she is than everyone, she always mocks other people, gets angry about almost anything, is always complaining, putting blame on others when something goes wrong and when someone IS better than her she gets insane, giving away all logic and reason to try to show that she is better than said person. But the most disturbing thing about her is that she can't accept her own feelings, possibly because of her pride. She denies the love she's developing for a character and acts very aggressive towards him, while also saying she has a crush for another guy, that's far "better" than the one she actually loves.
Another thing that's cool is that these two aren't fucked up simply because they are, they have pasts that justify their personalities.
Shinji's mother died when he was very young and his father, Gendo, couldn't take care of him by himself. He had no contact with his father and when he had, his father was always very harsh and cold about him.
Asuka's parents committed suicide and she lived for the rest of her life in a military base training to be an Evangelion pilot.
