Detective Da Fino, the PI hired to find Bunny Lebowski and played by Jon Polito, expresses his admiration of The Dude's apparent playing one side against the other throughout the movie. In Millers Crossing, Jon Polito plays a mob boss who is victim to and absolutely hates a double-cross.
Walter's oft-repeated line "shut the fuck up Donny!" is precisely written because Buscemi's character wouldn't shut up in Fargo.
Walter's home security business works under the slogan "Peace of Mind". In Barton Fink, John Goodman's character says he sells peace of mind.
Creator Killer: Despite the film's critical acclaim, the box office failure of the film along with Barney's Great Adventure has been blamed for the destruction of PolyGram Films. What's more is that the studio could have avoided it all with they stayed to see the success of Notting Hill.
The Danza: Despite The Dude's seeming similarity to Jeff Bridges, he is actually based on another friend of the Coen Brothers, Jeff "The Dude" Dowd. Dowd, Dude, and Bridges are all named Jeffrey.
Fake Nationality: The German nihilists played by Peter Stormare (Swedish), Flea (Australian), and Aimee Mann (American). The fourth nihilist was played by an actual German, Torsten Voges.
Playing Against Type: To some degree, John Goodman as Walter Sobchak. John Goodman's characters, when not directed by the Coen Brothers, tend to be nice, huggable jolly guys. Walter is anything but.
Which nearly became his type. Goodman said in an interview that a lot of the roles offer to him post-Lebowski were variations of the blustering Walter character.
Also, Steve Buscemi's role as a clueless, laid-back slacker who can't get a word in edgewise was written as a jokey inversion of the motor-mouthed psychopath types he'd played in Fargo and Reservoir Dogs. Walter's oft-repeated line "shut the fuck up Donny!" is precisely because Buscemi's wouldn't shut up in Fargo.
The Red Stapler: The White Russian has become somewhat legitimized as a "guy" drink thanks to this movie, as most people nowadays will just assume a man ordering one is a fan of The Dude.