The opening part of the sound track by John Williams echoes that of Vangelis' score in Blade Runner (1982), with the booming noises and a black screen, before the opening scene fades in.
If Williams uses the same motif from Blade Runner, than so does the screnwriter:
References to Blade Runner (1982), also based on a written work by author Philip K. Dick.
Both films begin with an extreme close-up shot of an open eye, and repeat the eye motif throughout.
Rutger Hauer's character (in Blade Runner) visits the genetic engineer who created his artificial eyes, Tom Cruise's character visits the surgeon who replaces his eyes.
Both films feature detectives making a key discovery by spotting a woman reflected in the mirror in the background of a crime-scene image that they are looking at.
Several times, bright shafts of light pour in through the windows behind the characters as they talk; this effect was used extensively in the earlier film.
After Cruise's encounter with Crowe, he drives with Agatha through a gorgeous green scenery, and tells her they're going "Someplace safe", a scene which parallels the ending scene of Blade Runner (the original, not the Director's Cut version.

During the scenes that show Anderton manipulating the PreCogs' visions of future crimes, the music in the background is Schubert's Symphony #8 in B Minor -- more commonly known as the "Unfinished" symphony.