Ideally Clint Eastwood or Darren Afronsky
Hopefully someone who is 8 years old right now will direct the next Batman movie. Making a another movie in the next 15 years would disrespect Nolans films.
But seriously, we need a director who can actually do a proper comic book adaptation with all that Batman deserves. Someone who can put the good from Burton, the good from Nolan and then create something on it's own with some imaginative input that makes it the Batman we all want to see and the Batman who can totally exist in the same world as Superman, Flash, Aquamn or Wondie
I love Brad Bird's films but I don't think he could make a Batman film. Since Brad Bird and Andrew Stanton have made the leap from animation I'd like to think Bruce Timm or Joaquim Dos Santos could too. As for Lauren Montgomery I'd rather have her do Wonder Woman. She was the director on the animated Wonder Woman movie and that was great.
joss wheadon only he can pull off a properly toned batman movie that can also be a lead in for a jla movie.
I agree on Whedon, though, I can see Tim Minear (Who worked close with Whedon on Angel and Firefly, and a bit on Dollhouse, also works on American Horror Story and a bunch of other shows now) doing an outstanding job as he's a brilliant writer and good director. Perhaps a team of Tim Minear (writing) and Drew Goddard (directing).