Amadeus. Ironically a movie about another composer, but named after Mozart. I strongly suggest seeing the theatrical version, NOT the director's cut. At the beginning I was scandalized by Mozart, but by the end I liked him. Overall, my favorite character was the preacher, though. Also note that most of the details in the story aren't true.
The Pervert's Guide to Ideology is a 2012 British documentary film directed by Sophie Fiennes and written and presented by Slovene philosopher and psychoanalyst Slavoj Žižek. Through psychoanalysis Zizek explores "the mechanisms that shape what we believe and how we behave". Among the films that are explored are Full Metal Jacket, Taxi Driver etc.