The film takes place from 1984 to 1986.
Both actors who played DC Comics characters Batman and Superman, Adam West (Batman (1966) and Kirk Alyn (Superman (1948)) were performing together as their superhero alter egos did in the "World's Finest Comics" series.
There is a brief shot of a hand moving over a radar screen. This same shot appears to have been reused years later in the opening titles of The X Files