Good names, but there seem to be a lot of holes here. I think it's pretty hard to narrow it down to just a few directors. Likewise, it's hard for me to buy that
Scorsese is the greatest living director and
Kurosawa is the greatest of all-time. There is nothing wrong with being of that opinion; however, it's still just an opinion.
A thread like this is a great opportunity to compile a diverse list of directors from many people with differing tastes and interests in movies. My true intersest lies in art films, especially surrealist films.
However, if you ask the IMDB for recommendations for Jean Cocteau's
Beauty and the Beast it's first recommendation is
Willow. Personally, I would expect IMDB to recommend films such as
The seventh seal,
Un Chien Andalou, and
Blood of a Poet, not some 80's fantasy written by George Lucas and directed by Ron Howard. Great movies by great directors are often very hard to find.
Here is my list of great directors. I'm sure I'll forget some and leave others off on purpose.
J. Cocteau
L. Bunuel
I. Bergman
F. Lang
J. Renoir
A. Kurosawa
O. Welles
J. Godard
A. Resnais
W. Herzog
A. Hitchcock
S. Brakhage
A. Jodorowsky
S. Kubrick
R. Polanski
D. Lynch
S. Tsukamoto
J. Svankmajer
D. Cronenberg
P. Jackson
Lars von Trier
Jean-Pierre Juenet
D. Aronofsky
T. Zwigoff
P.T. Anderson
T. Solondz
D. Fincher