Action: The Matrix
Adventure: The 13th Warrior
Animation: Fist of the North Star
Comedy: Better Off Dead
Documentary: The Corporation
Drama: Crouching Tiger, Hidden Dragon (Yeah it's a drama to me).
Fantasy: Lord of the Rings
Historic: King Arthur, The Last Samurai
Romance: Meet Joe Black
Sci-Fi: Star Wars
War: Every single one; preferably medieval
Western: Tombstone