Assuming I was on that desert island with a beautiful woman (if I was alone, I would take ten porn films), I would choose the following:

My favorite Mob Movie: GoodFellas
My favorite Sci-Fi Film: 2001: A Space Odyssey
My favorite films about Pornography: Boogie Nights
My favorite Musical: The Wizard of Oz
My favorite Comedy/Romance: City Lights
My favorite Samurai Film: The Seven Samuari
My favorite Horror Film: Psycho
My favorite Fantasty Film: The Lord of the Rings (the complete trilogy)
My favorite film about a Disturbed Youth: A Clockwork Orange
My favorite film about a Mad Conquistador: Aguirre: The Wrath of God