In my research area (databases/distributed systems) projectprojects often have a name taken from something out of pop (or not-so-pop) culture. It seems that if any reference for the allusion is given, it comes in a simple footnote. Your suggestion of "after the 1986 movie of the same name" would likely be perfectly adequate.
On the other hand, if some aspect of the movie actually influenced your work and you discuss it a bit, a full-on citation might be more appropriate.