One of my favorite films is the 1993 movie "Benny and Joon." Without spoiling the plot, I can say that it is about a mentally ill young woman (Joon) who lives with her brother (Benny). Under unusual circumstances, they take in Sam, a young man who changes their lives dramatically. His Buster Keaton inspired antics are amusing for the audience as well as the characters, and his personality brings out the best in Joon.
First of all, this film does not pass the Bechdel Test at all. There are only two major female characters with names, and they hardly ever speak to each other. Most of the topics of conversation surround Joon or Sam, and their relationship. It is not a movie that celebrates women, but it also does not degrade them. I chose it as my "feminist" movie because it realistically addresses mental health and relationships. I don't want to spoil the plot, but I will say that I highly recommend Benny and Joon for just about anybody-it has comedy, various dynamics of relationships, love of life, and is most of all heartwarming. Check out this clip from one of the most memorable scenes in the film! (no spoilers, just Johnny Depp being adorably hilarious)