I think substituting "favorite" for "best" is a much better choice considering how subjective actors and directors are in terms of personal best.
My list, and I'm going to exclude Scorcese because he should go without saying:
David Fincher: The Social Network, Fight Club, Se7en, Zodiac, The Curious Case of Benjamin Button, The Game
David Gordon Green: George Washington, Undertow, Snow Angels, Pineapple Express
Darron Aronofsky: Black Swan, The Wrestler, The Fountain, Requiem for a Dream, Pi
Paul Thomas Anderson: There Will be Blood, Punch-Drunk Love, Magnolia, Boogie Nights
Also really like Christopher Nolan and David Lynch.
My list, and I'm going to exclude Scorcese because he should go without saying:
David Fincher: The Social Network, Fight Club, Se7en, Zodiac, The Curious Case of Benjamin Button, The Game
David Gordon Green: George Washington, Undertow, Snow Angels, Pineapple Express
Darron Aronofsky: Black Swan, The Wrestler, The Fountain, Requiem for a Dream, Pi
Paul Thomas Anderson: There Will be Blood, Punch-Drunk Love, Magnolia, Boogie Nights
Also really like Christopher Nolan and David Lynch.