The Revenge Beating

Blue Collar (1978)

dir. Paul Schrader

Office Space (1998)
dir. Mike Judge

from TrixRabbi, who adds:

Both scenes involve workers taking revenge on a piece of machinery that constantly breaks down, a soda machine in Blue Collar and the fax machine in Office Space. It's also notable that both films are about a trio of tired, bottom-level workers who hatch a plan to rob their workplace.

The Splatter

Fifty Days at Ilium: The Fire that Consumes All before It (1978)
Cy Twombly

Cat People (1982)
dir. Paul Schrader

The Roost

All That Heaven Allows (1955)
dir. Douglas Sirk

Hardcore (1979)
dir. Paul Schrader

The Challenge

"You speaking to me?"
"I don't see nobody else standing there."

Shane (1953)

Written by Jack Schaffer, screenplay by A. B. Guthrie Jr.

"You talking to me? Well I'm the only one here."

Taxi Driver (1976)

Written by Paul Schrader (improvised by Robert De Niro)