The marching band seen trampling Vincent Ludwig outside Dodger Stadium at the end of the film is the "Spirit of Troy" Marching Band from the nearby University of Southern California (USC). The band you actually hear is the Rice University Marching Owl Band (the MOB). They are thanked in the credits.
The painting that Drebin accidentally destroys in Ludwig's house is "Blue Boy", the most famous work of Thomas Gainsborough. The original painting is housed in the Huntington Library (San Marino, California).
According to David Zucker in the DVD commentary, the studio insisted on the casting of an Oscar winner in one of the major roles. This led to the casting of George Kennedy, who had been actively campaigning for the role of Ed Hocken for months, saying that he was furious at having missed his chance to spoof himself in the movie Airplane!.
During Vincent Ludwig's first encounter with Frank Drebin, Ludwig is feeding his "fighting fish" small minnows. This is identical to a scene in the Bruce Lee movie "Game of Death" where we see Dr. Land (the main villain) feeding the same fish.
The scene in which Frank descends from the plane and talks to Ed (before Al Yankovic's appearance) is a nod to Jean Renoir's The Rules of the Game. The dialog is not exactly the same, but the setup mirrors the beginning of that film (a man has achieved a remarkable feat, yet is saddened that his love is not there to greet him).
The name for O.J. Simpson's character, Nordberg, was taken from a manufacturing company in Milwaukee, Wisconsin. The Nordberg plant was located at Oklahoma and Chase Avenues and featured a huge "Nordberg" sign visible to passers-by on Highway 94. The factory was purchased by Metso Minerals and has since closed in 2004.
The kitchen background (as Drebin asks if Jane would still like something to eat), has a food item pulsating. 'Weird Al' Yankovic - who makes a cameo in this film - uses a similar gag for his "Livin in the Fridge" video, five years later.
The baseball blooper reel shows a ballplayer's head coming off when he crashes into a fence. This scene is a tribute to a quote from San Diego Padres announcer Jerry Coleman: "Winfield goes back to the wall. He hits his head on the wall - and it rolls off! It's rolling all the way back to second base! This is a terrible thing for the Padres."
Reggie Jackson is depicted as an outfielder for the California Angels and Jay Johnstone is depicted as a player for the Seattle Mariners. Though both are legit former major league players, both had been retired by the time this movie was released. Jackson retired as an Oakland A's (his original team) in 1987 and Johnstone had retired as a Los Angeles Dodger in 1985.
Some years later Queen Elizabeth II attended a Oakland A's vs Baltimore Orioles game in Baltimore and met both teams in their respective dugouts. Reggie Jackson, then an Oakland A's coach, was the first person in the receiving line in the Oakland dugout. Some news channels showed gag footage from the movie of the Queen impersonator throwing out the first pitch. Leslie Nielsen actually met the real Queen Elizabeth II in 2005.
The device that induces characters to accept commands to kill someone is similar to to what the parasitic life forms in _Star Trek II: The Wrath of Khan (1982)_ do. Ricardo Montalban plays the villain in both films.
in the opening credits as a man fixing a picture up onto the wall of his house when the police squad car drives into the hallway. The director turns around and jumps into the room next door.