I'm going to make a very long list. Ill list a director and a bunch of movies I like from them.
Martin Scorcese- Hugo, Taxi Driver, The Departed, Gangs of New York
Dario Argento-Suspiria, Tenebre, Jennifer
George Romero-Night of the living dead, Dawn of the Dead, Monkey Shines, The Crazies
Richard Linklater-Slacker, Dazed and Confused, A Scanner Darkley, Waking Life
Robert Zemeckis-Back to the Future, Who Framed Roger Rabbit, Forrest Gump, Death Becomes Her
Ridley Scott- Alien, Prometheus, Kingdom of Heaven, Thelma and Louise, Gladiator
Ron Howard-A Beautiful Mind, Apollo 13, Willow
Christopher Nolan-Following, Insomnia, Inception, The Prestige, Memento, The Dark Knight Saga
Stephen Spielberg- ET, Jurassic Park, Shindlers List,
Richard Donner-Superman 1 & 2(uc), The Goonies, The Omen
David Fincher- Fight Club, The Social Network, Benjamin Button
Danny Boyle-127 Hours, The Beach, Slumdog Millionaire, 28 Days Later
James Cameron-Terminator, Aliens, Avatar, Titanic
Orsen Wells-Citizen Kane
Roman Polanski-The Pianist, Rosemary's Baby
Paul Thomas Anderson- Boogie Nights, There Will Be Blood
Spike Lee-Summer of Sam, Malcom X
Wes Anderson- Everything
Woody Allen- Annie Hall
Zach Snyder-Dawn of the Dead, Watchmen, 300
Quintin Tarantino- Reservoir Dogs, Pulp Fiction, Jackie Brown, Kill Bill 1&2, Inglorious Basterds, Death Proof, 4 rooms
Robert Rodriguez- Once Upon a Time in Mexico Trillogy, Machete, Spy Kids, The Faculty, Planet Terror, 4 rooms, Sin City
Edgar Wright-Shawn of the Dead, Zack Pilgrim, Hot Fuzz
Oliver Stone-Platoon, Scarface(writer), Wall-Street, Natural Born Killers, Conan TB(writer)
Francis Ford Coppola- Apocalypse Now
Alfred Hitchcock-The Birds, Psycho, Saboteur, NXNW, Rear Window
Stanley Kubrik- The Shining, Dr. Strangelove, A Clockwork Orange, Full Metal Jacket
Tim Burton-Batman, Beatlejuice, Ed Wood, Edward Scissorhands
Roland Emmerich(yes I know)- Independence Day, Godzilla, The Patriot, 2012, The Day After Tomorrow
Frank Durabont- The Green Mile, The Mist, The Walking Dead(not a movie, but notable), The Shawshank Redemption
David Cronenberg- The Fly, A history of Violence, Shivers, Scanners
Kevin Smith-Chasing Amy, Red State
John Carpenter-The Thing, The Fog, Halloween, Prince of Darkness, Escape from New York, Big Trouble in Little China, etc.
Alfonzo Cuaron- Children of Men
Guillermo Del Torro- Mimic, The Devils Backbone, Pans Labyrinth, Don't Be Afraid of the Dark
Peter JAckson-The Lord of the Rings, Meet the Feebles, Brain Dead, the Frighteners
The Coen Brothers-Everything
Kathryn Bigelow- The Hurt Locker, Point Break
Darren Aronofsky- Pi, Black Swan, The Wrestler, Requiem for a Dream
Terry Gullium-7 Monkeys, Baron Von Munchausen,
Eli Roth-Cabin Fever, Hostel 1 & 2
Guy Richie-Lock Stock and 2 smoking Barrols, Snatch, Sherlock Holmes, RockinRolla
Brian de Palma- Scarface, Carrie
Paul W.S. Anderson- Mortal Kombat, Resident Evil Series, Event Horizon