Malcolm. An Australian movie from 1986. A young man who has no idea why the girl next door keeps wanting to spend time with him. He's also repulsed by the girlfriend of a man renting a room from him dressing too sexy. The story is fiction, but the character is based on a real person.
The Accountant. Ben Affleck does a good job portraying an autistic character. He comes to notice that a woman is interested in him; he can't give her what she wants so he gives her an valuable painting instead. (Violence warning.)
Muriel's Wedding. Toni Collette thinks her unhappy life will improve if she just marries the right man; in the end she realizes she's happier with her best friend.
The Returner. Japan 2002. A teenager who is the last survivor of humanity travels to the present to stop an alien invasion before it happens, forcing an amoral bounty hunter to help her. They learn trust & affection for each other, but aren't a couple.