After being fired, Andrezej puts his fist through the screening room door. This is a reference to Francis Ford Coppola (father of director Roman Coppola) and his short temper. In fact, when the editors get a framed section of the destroyed wall, it is actually a portion of a wall the elder Coppola wrecked in his early directing days.
The trailer for the film is stylistically identical for the trailer that Paul designs for the film within the film, which, in turn, is stylistically identical to the trailer for the Stanley Kubrick film, Dr. Strangelove or: How I Learned to Stop Worrying and Love the Bomb (1964).
The currency that Dragonfly is showered with when she accepts the mission to steal Mr. E's weapon have the portrait of President John F. Kennedy on them.
The design for the inner workings of the Dragonfly robot at the end of the film are based on Paul's wristwatch, which we see at the beginning of the film.
In the movie-within-a-movie, Dragonfly works for a "World Council" whose insignia is a chicken with an olive branch.
Special features on the DVD include two cuts of the movie-within-a-movie, "Codename: Dragonfly" - "Paul's Version" and "Andrzej's Version."
Gérard Depardieu received an Oscar nomination, and several European film awards, for his portrayal of Cyrano de Bergerac (1990), a role that had already earned an Oscar for Jose Ferrer four decades before. This made them the second pair of actors to both receive Oscar nominations for playing the same part in different languages. The first pair were Marlon Brando and Robert De Niro in the first two Godfather films, directed by Roman Coppola's father, Francis Ford Coppola.
Gérard Depardieu previously appeared in Cyrano de Bergerac (1990), while Giancarlo Giannini previously appeared in 'Dune (2000)(TV)'. Both actors played a role previously played by Jose Ferrer.
The clear-faced wristwatch shown in the movie screening (at about the 38 minute mark) is a Bulova Accutron "Spaceview" tuning fork, battery-operated watch, circa 1970. It was extremely accurate for its time, hence the name. It is now considered collectible. The watch was beautiful, but the tuning fork mechanism often needed to be repaired or replaced. Parts are now very scarce.