The Amazing Spider-Man. I didn't like the Raimi origin for much the same reason as I didn't like the Raimi movies in general. It was hammy and corny, and Maguire can't act, and to be honest I think Peter getting his father figure (and his girlfriend, for that matter) killed is unnecessarily dark for superhero films in general, but especially for something as otherwise light as Spider-Man. So I like that the Amazing films toned down / glossed over that stuff. ASM looked better, it was performed better, and it was more believable and engaging, both in and out of the origin aspects of the film.
Homecoming wasn't an origin movie, so there's nothing for me to say there.