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There are so many wonderful movies listed here. There are some that my daughter loves, including "The Last Unicorn", "Dark Crystal", "The Brave Little Toaster", that didn't make the list, but have been mentioned in comments. I also wanted to mention to Andrew that I didn't really care for "Labyrinth", but my daughter loved it, and from a young age (about 5 or 6, if I remember correctly).
Something else she really loved that I really hated was a series called "Sailor Moon". I think there was a movie as well, but it's been a long time.
Recently, my family watched the first three "Indiana Jones" movies together. I was surprised by how well they held up. My daughter, who is 17 now, wasn't that impressed but she's a bit of a movie snob. The boys, aged 14 and 9, loved all of them. The second one did scare the youngest a bit, but he wanted to see it again almost immediately.
Fairly recently my youngest and I watched "King Kong" with Faye Wray. He was mesmerized during the entire movie. In fact, all of my kids like black and white movies, silent movies, and bad 80s special effects. I guess they're weird that way.