Spirited Away (2001, Hayao Miyazaki) goes into the same box as much of children's adventure. Like Dorothy or like Sarah, Chihiro finds herself in a situation that requires her to become a better person than she has been so far and a braver one, too.
And somewhat more like Baby, she's challenged to stand up for people she loves (with no sexual connotations though, this is a PG animation apt for children).
According to Academy Awards, this is the best movie of Miyazaki (won the Oscar as best animation in 2003) who has been creating meaningful girl characters and girl-centered films throughout his professional life (see Nausicaä, Satsuki and Mei, Kiki, or Sophie). Probably the most convincing feature of them all is the multidimensional humanness (the one that Disney princesses lack to some extent).
Chihiro - and other characters, like the adorable witch twin-sisters - is cranky, capricious, and indecisive at times. They are not the same with all the people. They are angry, afraid, hungry... Like anybody, you know. And still they have the most breathtaking, epic adventures.