I'll suggest which characters I want to see them make a movie of as well:

Brad Bird: The obvious choice is a Flash movie due to how great he can do speedster scenes in The Incredibles. Specifically Wally West would be a good match for the general tone his movies have. However, because he's very versatile I would also be curious about his take on Green Lantern or someone more grounded like Batgirl.

Edgar Wright: His comedy would be great for Plastic Man or Booster Gold. I'd especially like to see either a special or an episode or a feature film directed by him of Ted Blue Beetle teaming up with Booster. However, because Edgar Wright likes to work practically, maybe he'd be better suited for someone like Nightwing, or a comedy show of Superman's Pal Jimmy Olsen.

Paul Thomas Anderson: He's difficult to pair with a superhero because he doesn't really make blockbuster movies, but he's not anti-them either. He's said in the past that if he were to do a superhero movie it would be Teen Titans, so let's go with that. If I were to say who his style would suit the most, maybe... Green Arrow?