Fargo: Like the movie, every episode opens with a (false) declaration that it's based on a true story with the names changed.
Raising Arizona: Zelmare and Swanee's actions frequently mirror this film, particularly Gale and Evelle Snoats:
The scene at the beginning of "The Land Of Taking And Killing", where Zelmare and Swanee break out of prison recalls Gale and Evelle's prison break. Both are set on a rainy night, with the dominant crook breaking out head-first, then helping pull the follower crook out feet-first. They then both whoop with joy to be free.
After breaking free, both groups are seen immediately afterwards preening in a public bathroom. The boys are applying pomade, while the girls are applying makeup.
Both groups then look up an old associate and arrive unannounced and unwanted in the middle of the night to be housed and fed.
When asked how they got out of prison, both Swanee and Evelle state, "We released ourselves on our own recognizance."
When the girls rob the Cannon Limited in "Radioppiarlo", disguised with pantyhose masks, one of the Mooks exclaims "Girl, you got a panty on your head!" This echoes a line in the movie, where a driver makes this observation when H.I. jacks his car to get away from the police.
Miller's Crossing: Characters make a few references to "rumpus," including the line, "What's the rumpus?" This is a reference to the same oft-repeated line in Miller's Crossing.
The unfinished billboard that irritates Rabbi is finally shown to say "The Future Is Now," the slogan of Hudsucker Industries.
Loy and Co invent an unusual product, "credit card" which is a hard sell in their own time but from our perspective is a common item and hugely profitable product (this mirrors Norville Barnes inventing the Hula Hoop in The Hudsucker Proxy).
When Odis is being dragged to the floor and strangled in episode 6, it closely mirrors the shot of Anton Chigurh strangling the unlucky officer at the start of No Country, right down to zooming in on the crazy eyes of the strangler.
Gaetano realising someone in the house is coming to kill him is a mix of imagery from No Country, where Moss waits for Chigurh to come to the door, and Miller's Crossing, where Leo realises there's assassins downstairs.
The showdown between Calamita, Omie and Milligan has a lot of similarities with No Country, in particular how the violent showdown being (mostly) skipped by the narrative, ending in the proprietor of the location being found dead by the third character.
Other
The Wizard of Oz: The episode taking place in Kansas is presented in black and white until a tornado hits.
