There's a deleted scene where Hancock meets a woman at a bar and takes her home. It's kinda weirdly emotional and totally should've been left in the movie imo. Here's the scene.
I remember liking half of it. Oddly enough, I can't remember whether I liked the first half where he's a drunken bum, or the second half, where he's more together, but I specifically remember thinking half of it was decent at least.
I mean, sort of. It was funny when she got pissed off and did some stupid stuff to make him leave. Didn't she throw a refrigerator, and him with it, through the house wall?