Can anybody give me German movie recommendations?

Downfall (or Der Untergang), is a the best german movie I have seen: Traudl Junge, the final secretary for Adolf Hitler, tells of the Nazi dictator's final days in his Berlin bunker at the end of WWII.

http://www.imdb.com/title/tt0363163/

EDIT: The lives of others (das leben der anderen) is also very good: In 1984 East Berlin, an agent of the secret police, conducting surveillance on a writer and his lover, finds himself becoming increasingly absorbed by their lives.

DANIEL has given you two very good recommendations. I would add "Europa, Europa" to his suggestions.

Well, I don't know your taste in movies but "Good Bye, Lenin" is really good. "Keinohrhasen", "Soloalbum" and "Barfuss" are quite entertaining as well...