The episode title is a pun on the 1990 stock-car racing movie Days of Thunder.
Like Tom Cruise's character, Cole Trickle, Bart becomes a race car driver in this episode. He also agrees to drive Martin Prince's vehicle when Prince is injured, just as Cruise does for Michael Rooker's character, Rowdy Burns.
Troy McClure uses the phrase "Quoth the Raven, What a shine!", a pun on the phrase "Quoth the Raven, "Nevermore"" in Poe's famous narrative poem The Raven.
After Patty gets Mary Tyler Moore's haircut, Selma tells her she "could turn the world on with your smile". This is a reference to "Who can turn the world on with her smile?", part of the lyrics of "Love Is All Around" by Sonny Curtis, the theme song of The Mary Tyler Moore Show.
Nelson tries to run Bart's soapbox car off of the road with a whip and with spiked wheels, parodying the famous chariot race scene in the 1959 religious epic film Ben-Hur. The race commentator later mentions the film itself.
The race commentator compares the moment when Bart is being carried on people's shoulders to when Charles Lindbergh, also known as "Lucky Lindy", arrived in Le Bourget Airfield, the famous landing site of the Spirit of St. Louis.
The scene in which Bart welds with his mask up caused a battle between the show creators and the network censors. The censors were concerned that children would imitate Bart by misusing welding tools. The show creators were able to convince them that very few kids would use welding tools anyway.
Tapes at the video shack include: "Du Du Du", "Border Siesta", "The Bad Football", "Speed Boat Bloopers", "Frisbee", "Super Jock 3", "Death By Knockout", "Bench Clearing Brawls", "Blood On The Ice", and "Football's Greatest Injuries".
The head of the National Fatherhood Institute drinks from a Super Dad mug.
Homer says his credit expiration date is "June 1989.. uh, 2012". 1989 is the year the first Simpsons episode aired.
Homer double parks at the VHS Village.
This is the first episode to feature the full version of the current theme music. (Although the full version of the opening for this episode was used outside of the USA, it was also released on all releases of the third season DVD.)
The sign at the video store reads: VHS Village, Formerly the Beta Barn.
Marge and her sisters read Idle Chatter and Peephole magazines at the beauty salon.
Harry Shearer based the voice of Dave, the director of the Fatherhood Institute, on actor Mason Adams.
This episode premiered November 14, 1991 and got high ratings due in part to the fact that it was immediately followed by the premiere of Michael Jackson's infamous "Black or White" music video, the one that ends with Jackson smashing the car windows.
Deathrace 2000 was another inspiration for the episode.
When Homer asks Flanders when a boy should start dating and immediately drives away, it shows him handling the steering wheel from the backseat of his car.