The Ultimate Punch, Kick & Choke Championship held at the Springfield Sports Arena is a parody of Punt, Pass, and Kick, a football skills competition held annually by the NFL for youths of ages six through fifteen.
Unhappy with the performance of the fighters, Sideshow Mel asks whether the event was Prime Minister's Question Time. This British TV program consists of a topical debate in which UK government representatives, including Prime Ministers, participate in.
Homer mentions Joe Biden who, at the time this episode aired, served as the vice-president of the United States.
Marge convinced Homer that Ultimate Punching was a bad thing by preparing him a Black Forest cake. While crying, Homer compares the cream of the cake to the "snow on the eaves of a Bavarian castle", referencing the disputed German origin of the Black Forest cake.
When wrestling at Yale University, Mr. Burns was in the "ether weight" category. Burns is referring to the now obsolete concept of ether, which was considered to be the material that fills the region of the universe beyond the terrestrial sphere.
The music that Mr. Burns fights to and that is heard in the end credits is "Boola Boola" by The Sing-A-Long Gang. It is the football song of Yale University.
There is an ad on a billboard that says "When a Man Gloves a Woman". This is an allusion to the 1966 song by Percy Sledge called "When a Man Loves a Woman" and also a 1994 film of the same name.
Marge's nickname is the "Mom I'd Like To Fight", a pun on the acronym MILF.
Lenny thinks women spend all day eating bonbons and watching General Hospital, the soap opera considered to be the longest-running American soap opera in production.
Bart and Lisa's fight that freezes when the two are about to make contact is a parody of the final scene of Rocky III, when Rocky and Apollo perform a friendly fight and the film freezes and ends without showing the result.