Indecent Proposal - The film is punned in the title and referenced throughout the episode.
"Nookie in New York" is an obvious parody of Sex and the City, right down to the appearance of the characters.
The point where Artie is flying Marge away in his helicopter, and Marge sees that Homer has written "KEEP YOUR CLOTHES ON" in rocks, is a parody of the series finale of M*A*S*H, Goodbye, Farewell and Amen, in which Capt. Hawkeye Pierce, as his helicopter takes off to fly him homeward, sees that Capt. B.J. Hunnicutt has written out the word "GOODBYE" in rocks.
At the end of the episode, Artie's Snor-Converter alters Homer's snoring into the tune of "Sweet Dreams (Are Made of This)" by the Eurythmics. Artie supplies altered lyrics where he tells Marge that Homer is a loser and she should dump him.
Moe says to Homer about Artie that "he's like a spy in the house of Moe". This could be a reference to the lyric "I'm a spy, in the house of love" from the song "The Spy" from The Doors.
When Homer says he won't be born if Marge marries Artie, it is a reference to Back to the Future: Part I, wherein if Lorraine doesn't marry George, Marty won't be born.
Jeffery Albertson says in his sleep : "Oh, Jar Jar! Everyone hates you but me." This is a reference to how most people who watched the prequel trilogy of Star Wars hate the character Jar Jar Binks.
That 70's show - Homer saying "good day... I said good day" is a reference to Fez's catchphrase he uses when is upset.