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

Abbas Kiarostami
Aki Kaurismaki
Akira Kurosawa
Alexandra Kerry
Anurag Kashyap
Barbara Kopple
Buster Keaton
Callie Khouri
Elia Kazan
George Kuchar
Harmony Korine
Hirokazu Koreeda
Irvin Kershner
Jeff Krulik
Krzysztof Kieslowski
Kurt Kren
Lawrence Kasdan
Masaki Kobayashi
Mathieu Kassovitz
Mehboob Khan
Mike Kuchar
Nagesh Kukunoor
Raj Kapoor
Raj Khosla
Richard Kelly
Richard Kern
Rory Kennedy
Shaji Karun
Stanley Kubrick
Steve Kloves
Takeshi Kitano
William Klein
Wong Kar-wai
Young Man Kang