A lot of Disney movies have some genuinely scary stuff. Snow White, Aladdin, Pinocchio, Sleeping Beauty, Cinderella, The Little Mermaid...go down the list. (Actually, maybe not Cinderella. I think that one's fine.)
Then again, a lot of those are toned-down from the original works, so maybe we should count ourselves lucky? Then again, reading about something happening to someone is a lot different than seeing it. (Seeing it is a bit more horrific.)