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One of my favorite movies featuring kids is A Little Romance, with Laurence Olivier and a teenage Diane Lane. It's a wonderful movie about two 13 year olds on the run in France and Italy, trying to get to Venice - it might be a bit gooey for boys but I think girls would like it, probably from age 10 or 11. (Other than a couple of minor references to pot, it's very innocent.) I think I saw it for the first time when I was 11 or 12, and I still love watching it.
Suzy mentioned Hitchcock for families - my parents loved old movies and I saw a lot of them when I was young, and the Hitchcock movie that I enjoyed the most as a young teen was Notorious. It's pretty straightforward, and the poisoning scenario isn't that scary, at least for older kids. Most other Hitchcock movies went right over my head until I was older, but who wouldn't like Cary Grant and Ingrid Bergman?