If anyone's interested in learning a bit more about the Stasi, The Lives of Others is a great film about a man who works for the Stasi, tasked with spying on some influential people.
The story is one of those unrealistic "protagonist acts against all odds and succeeds" that make up a good movie, but the backdrop (Stasi's - sometimes not very - subtle omnipresence and the fear this evokes in society) is painfully realistic.