Directors I know the name of and which movies they've directed.

• Steven Spielberg
• Quentin Tarantino
• Tim Burton
• Stanley Kubrick
• James Cameron
• Ridley Scott
• David Fincher
• The Wachowski-brothers
• George Romero
• Martin Scorsese
• M. Night Shyamalan
• Peter Jackson
• The Coen-brothers
• George Lucas
• Sam Raimi
• Guy Ritchie
• Lukas Moodysson
• Ang Lee
• Hayao Miyazaki
• Darren Aronofsky
• John Carpenter
• Alfred Hitchcock
• Mel Gibson
• Kevin Costner

The two last ones, I know mostly because of their acting career though.