A list from Danny Peary's Cult Movies book, arguably the most influential film writer on me personally.

Aguirre, the Wrath of God
   
Werner Herzog
   
1972
All About Eve
   
Joseph L. Mankievicz
   
1950
Andy Warhol's Bad
   
Jed Johnson
   
1977
Badlands
   
Terrence Malick
   
1974
Beauty & the Beast
   
Jean Cocteau
   
1846
Bedtime for Bonzo
   
Frederick de Cordova
   
1951
Behind the Green Door
   
Jim and Art Mitchell
   
1972
Beyond the Valley of the Dolls
   
Russ Meyer
   
1970
Billy Jack
   
T. C. Frank
   
1971
Black Sunday
   
Mario Bava
   
1960
The Brood
   
David Cronenberg
   
1979
Burn!
   
Gillo Pontecorvo
   
1970
Caged Heat
   
Jonathan Demme
   
1974
Casablanca
   
Michael Curtiz
   
1942
Citizen Cane
   
Orson Welles
   
1941
The Conqueror Worm
   
Michael Reeves
   
1941
Dance, Girl, Dance
   
Dorothy Arzner
   
1940
Deep End
   
Jerzy Skolimowski
   
1971
Detour
   
Edgar J. Ulmer
   
1946
Duck Soup
   
Leo McCarey
   
1933
El Topo
   
Alexandro Jodorowsky
   
1971
Emmanuelle
   
Just Jaeckin
   
1974
Enter the Dragon
   
Robert Clouse
   
1973
Eraserhead
   
David Lynch
   
1978
Fantasia
   
Walt Disney (producer)
   
1940
Forbidden Planet
   
Fred McLeod Wilcox
   
1956
Force of Evil
   
Abraham Polonsky
   
1948
42nd Street
   
Lloyd Bacon
   
1933
Freaks
   
Tod Browning
   
1932
The Girl Can't Help It
   
Frank Tashlin
   
1956
Greetings
   
Brian De Palma
   
1968
Gun Crazy a.k.a Deadly is the Female
   
Joseph H. Lewis
   
1949
Halloween
   
John Carpenter
   
1978
Hard Day's Night, A
   
Richard Lester
   
1964
The Harder They Come
   
Perry Henzel
   
1973
Harold and Maude
   
Hal Ashby
   
1971
The Honeymoon Killers
   
Leonard Kastle
   
1970
House of Wax
   
Andre de Toth
   
1953
I Married a Monster from Outer Space
   
Gene Fowler, Jr.
   
1958
I Walked With a Zombie
   
Jacques Tourneur
   
1943
Invasion of the Body Snatchers
   
Don Siegel
   
1956
It's a Gift
   
Norman Z. McLeod
   
1934
It's a Wonderful Life
   
Frank Capra
   
1946
Jason and the Argonauts
   
Don Chaffey
   
1963
Johnny Guitar
   
Nicholas Ray
   
1954
The Killing
   
Stanley Kubrick
   
1956
King Kong
   
Cooper/Schoedsack
   
1933
King of Hearts
   
Philippe de Broca
   
1967
Kiss Me, Deadly
   
Robert Aldrich
   
1955
La Cage aux Folles
   
Edouard Molinaro
   
1979
Land of the Pharaos
   
Howard Hawks
   
1955
Laura
   
Otto Preminger
   
1944
The Little Shop of Horrors
   
Roger Corman
   
1960
Lola Montis
   
Max Ophuls
   
1955
The Long Goodbye
   
Robert Altman
   
1973
Mad Max
   
Geroge Miller
   
1979
The Maltese Falcon
   
John Huston
   
1941
Man of the West
   
Anthony Mann
   
1958
Night of the Living Dead
   
George A. Romero
   
1968
The Nutty Professor
   
Jerry Lewis
   
1963
Once Upon a Time in the West
   
Sergio Leone
   
1969
Out of the Past
   
Jacques Tourneur
   
1947
Outrageous!
   
Richard Benner
   
1977
Pandora's Box
   
G. W. Pabst
   
1929
Peeping Tom
   
Michael Powell
   
1960
Performance
   
Cammell/Roeg
   
1970
Petulia
   
Richard Lester
   
1968
Pink Flamingos
   
John Waters
   
1973
Plan 9 from Outer Space
   
Edward D. Wood, Jr.
   
1956
Pretty Poison
   
Noel Black
   
1968
The Producers
   
Mel Brooks
   
1968
The Rain People
   
Francis Ford Coppola
   
1969
Rebel Without a Cause
   
Nicholas Ray
   
1955
The Red Shoes
   
Powell/Pressburger
   
1948
Reefer Madness
   
Louis Gasnier
   
1936
Rio Bravo
   
Howard Hawks
   
1959
Rock'n'Roll High School
   
Allan Arkush
   
1979
The Rocky Horror Picture Show
   
Jim Sharman
   
1975
The Scarlet Empress
   
Josef von Sternberg
   
1934
The Searchers
   
John Ford
   
1956
Shock Corridor
   
Samuel Fuller
   
1963
The Shooting
   
Monte Hellman
   
1967
Singin' in the Rain
   
Kelly/Donen
   
1952
Sunset Boulevard
   
Billy Wilder
   
1950
Sylvia Scarlett
   
George Cukor
   
1936
The Tall T
   
Budd Boetticher
   
1957
Targets
   
Peter Bogdanovich
   
1968
Tarzan and his Mate
   
Cedric Gibbons
   
1934
The Texas Chain Saw Massacre
   
Tobe Hooper
   
1974
Top Hat
   
Mark Sandrich
   
1935
Trash
   
Paul Morrisey
   
1970
Two for the Road
   
Stanley Donen
   
1967
Two-Lane Blacktop
   
Monte Hellman
   
1971
2001: A Space Oddysey
   
Stanley Kubrick
   
1968
Up in Smoke
   
Lou Adler
   
1978
Vertigo
   
Alfred Hitchcock
   
1958
The Warriors
   
Walter Hill
   
1979
Where's Poppa?
   
Carl Reiner
   
1970
The Wild Bunch
   
Sam Peckinpah
   
1969
The Wizard of Oz
   
Victor Fleming
   
1939