Movies like Donnie Darko

Donnie Darko doesn't get along too well with his family, his teachers, and his classmates; but he does manage to find a sympathetic friend in Gretchen, who agrees to date him. He has a compassionate psychiatrist, who discovers hypnosis is the means to unlock hidden secrets. His other companion may not be a true ally. Donnie has a friend named Frank, a large bunny which only Donnie can see. When an engine falls off a plane and destroys his bedroom, Donnie is not there. Both the event, and Donnie's escape, seem to have been caused by supernatural events.