To start looking for a director choose one of the following options:

Agnieszka Holland
Albert Hughes
Alfred Hitchcock
Allen Hughes
Amy Heckerling
Arthur Hilier
Barbara Hammer
Blake Harjes
Bonnie Hunt
Brian Helgeland
Curtis Hanson
Dennis Hopper
Hal Hartley
Howard Hawks
Hsiao-hsien Hou
Ishiro Honda
Jim Henson
John Hughes
John Huston
Lasse Hallström
Mary Harron
Michael Haneke
Mike Hodges
Monte Hellman
Nicole Holofcener
Paul Haggis
Paul Hills
Peter Hall
Rajkumar Hirani
Ray Harryhausen
Ron Howard
Scott Hicks
Taylor Hackford
Tobe Hooper
Todd Haynes
Tsui Hark
Werner Herzog