The educational film Powers of Ten is parodied in the couch gag.
The song sung by the rappers in Phineas Q. Butterfat's parodies the 1979 song Rapper's Delight.
Artie Ziff's company Ziffcorp going bust and cheating its shareholders is reminiscent of Enron and its downfall.
The scene where Lisa holds the camera to her face and starts tearfully apologizing before running out of the attic is a parody of a scene in the The Blair Witch Project.
The pamphlet "What Would Jesus View" (a reference to the saying "what would Jesus do?") is made by Michael Medved, a conservative radio host and movie critic.
Teenage Sex Wager, which is a parody of the 1990s raunchy teen film, American Pie (or any raunchy teen comedy movie from the 1980s to the 1990s).
Teenage Sex Wager being deemed controversial enough to be listed among the banned films in "What Would Jesus View" is most likely a reference to the Miramax raunchy film Forty Days and Forty Nights (which also involved a sex wager) and its extremely controversial reception by the Catholic League for Religious and Civil Rights.
"The Way We Was", "Half-Decent Proposal", and "The Front": Artie Ziff
"Brush With Greatness": Professor Lombardo (the art teacher who loved Marge's Ringo Starr portraits)
"A Star is Burns" and "Hurricane Neddy": Jay Sherman (the host of Coming Attractions on The Critic who moved to Springfield for an episode to hide out from Rainier Wolfcastle, and was later committed to Calmwood Mental Hospital for repeatedly saying, "It stinks!")
"Homer Defined" and "Homer at the Bat": Aristotle Amadopolis (Mr. Burns' nuclear plant owner rival)
"A Street Car Named Marge": Llewelyn Sinclair (the director of the musical version of A Streetcar Named Desire)
"Treehouse of Horror VII" ("The Thing and I"): Bart and Lisa search the attic after being spooked by weird noises from there.
"Marge in Chains": A Simpson parent (Marge/Homer) is in jail for a crime they unwittingly committed (shoplifted bourbon/won a failing dotcom that cheated shareholders in a poker game).
Goofs[]
Artie said his company got taken away, and that would mean that he didn't own the company anymore. The SWAT team should have known that. (Whether he owned the company still or not he would still be liable for crimes committed by him or the company while he did).
White collar criminals are almost never arrested in that manner. They usually negotiate between Prosecutors and Defense Lawyers for their surrender.
While Homer had won 98% of Ziffcorp shares, it was not yet official and therefore legally had no connection to the company. Also even if it were official Homer still would be innocent and still Artie should be arrested as it was him who brought Ziffcorp to be broke.
Artie actually had a straight flush (2 through 6 of diamonds), which should have beaten Homer's four of a kind.