Finally, I can put my 12 years of Jewish day school education to use. You might try
The Fixer (
http://www.imdb.com/title/tt0062977/), based on a novel by Bernard Malamud, about a secular Jew in Czarist Russia who's falsely accused of murdering a Christian child. Very good film.
I'll try to think of a few more, I'm sure I watched them when one of my teachers didn't feel like teaching.
And even if it didn't have some things to say about anti-Semitism, you couldn't really write a paper about Judaism in film without watching
Fiddler on the Roof. Not to mention it's a fantastic musical.
The funny thing about Jewish film (and much of Jewish literature, too) is that it pretty much
all has to do with anti-Semitism.
Or maybe "funny" isn't the right word.
EDIT: Oh, and you could always throw in
Borat for good measure.