Kare wrote:Himmel über Berlin/ Wings of Desire
The movie City of Angels is based on this one, so it's probably more for the femal learners, while The Life of Others is a more serious movie about the Stasi.
I didn't like City of Angels that much but Der Himmel über Berlin is a great movie.
A movie I still love to watch even though it's actually a children's story is "Das fliegende Klassenzimmer" based the book by Erich Kästner (who has a Cameo in the movie and also wrote the screenplay). I mean the b/w version from 1954.
"Bandits" from 1997 is also a great movie about 4 women in prison who play in a band and escape more or less by accident. Great characters, nice music and also with a good sense of humour.