Involved with director Peter Bogdanovich at the time of the film's US release in June 1980, Dorothy Stratten complained to him that the print ads for Galaxina (1980) also promoted her status as Playboy's Playmate of the Year, upsetting Dorothy who now wanted to be taken seriously as an actress.
The movie-within-this-movie was the Polish-East German sci-fi film First Spaceship on Venus (1960). The film is watched by the characters in the picture and was chosen because the American distribution rights were owned by Crown International Pictures who distributed Galaxina (1980) stateside.
The second consecutive film written and directed by William Sachs to feature a Playboy magazine Playmate of the Year in a lead role; Dorothy Stratten was PMOY for 1980, while actress Cynthia Wood was PMOY in 1974 before appearing in Sachs' previous film, Van Nuys Blvd. (1979). In the DVD commentary track for the latter film, Sachs states that this was not deliberate; the two women merely responded to casting calls for roles requiring a very good-looking actress.
The film's opening prologue states: "The year is 3008. Space travel is now routine. As new galaxies were explored and more civilizations discovered, the traffic in space increased. The United Intergalactic Federation was called upon to create a police force and soon a fleet of ships was patrolling the far reaches of the known star systems. This is the story of one of these ships, police cruiser, Number 308, the Infinity. It is also the story of the ship's crew and of the ship's robot. She was no ordinary robot for in the 31st century man finally created a machine with feelings, and her name is ... GALAXINA".
The biker cult that captures Galaxina worships a holy trinity of Ali-David-Son. Not only is this a subtle reference to the three original branches of Abrahamic faith (Muslim (Ali being a common Arabic name which means "high" or "elevated), Jewish (Star of David), Christian (Son of God)). It is bears a phonetic resemblance to Harley Davidson, the motorcycle manufacturer.
Commander Garrity's name (intentionally mispronounced as "Gravity" by Captain Butt) is a reference to Garrity Rights that protect federal, state, and local officers and employees under internal investigation from self-incrimination and retaliation.