Cameron Crowe Gets a Cameo
In the scene where Tom Cruise gets into the subway train, a man is reading a newspaper while sitting down, and he looks up at Tom. The person reading the newspaper is Cameron Crowe (Director of Jerry Maguire). Crowe also directed "Vanilla Sky" and Spielberg had a cameo in that movie. Speilberg directed "Minority Report" and decided to return the favor.
In the movie, the three pre-cogs are named Arthur, Dashiell, and Agatha. The significance of the names of the pre-cogs is that they are all names of famous detective novelists. Sir Arthur Conan Doyle, Dashiell Hammet, and Agatha Christie.