I just asked DD17 what her favourite film was when she was little, Matilda (because she was clever and could do magic).
We usually kept films for wet sunday afternoons, she mostly watched documentaries and some kids TV. What I have found is that she regulates herself very much now, she has shows that she watches to chill out (brain candy) but has also discovered Shakespeare especially Hamlet, 3.5 hours nearly put her Father and I into a coma, but she loved it.
As for sensitivities some films would upset her, but we talked things through and she learned the difference between film and real life. Real life apparently isn't scary it is just films that are, go figure.