The best black and white movies...in the modern age

La Leon and Embrace of The Serpent

(The Last Picture Show)
(Paper Moon)

Raging Bull
The Elephant Man
Rumble Fish
Schindler’s List
La Haine
Clerks
Ed Wood
Sin City
Dead Man
Good Night, and Good Luck.
Bottle Rocket (short)
The Man Who Wasn’t There
The Artist
Logan Noir
Cold War
Last and First Men

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Now, I wonder if Zhang Yimou's Shadow qualifies...probably not, but see it anyway.

No.

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San Franciscan lesbian dwarves and their tomato orgies.

Probably forgetting some films, but:

The Elephant Man
Eraserhead
The Last Picture Show
Manhattan
Raging Bull
Schindler's List
Wings of Desire
Young and Frankenstein

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