The motorcycle that Will Smith's character rides in the movie is a 2004 MV Agusta F4-SPR. It is one of only 300 produced worldwide. Its 750cc, inline 4-cylinder engine produces 147 horsepower and can propel the bike in excess of 175 mph.
During an interview on American Chopper: The Series (2003), Will Smith told how he wrecked the motorcycle at around 60 mph during the filming of the scene at the robot storage facility (you can see him begin to lose control in the film).
According to the credits, the film was "Inspired by Isaac Asimov's Book"; however, there was never an Asimov "book" (i.e. novel) called 'I, Robot'. A short story called "I, Robot", about a robot called "Adam Link", was written by Earl and Otto Binder (aka "Eando" Binder) and published in the January 1939 issue of 'Amazing Stories', well before the unrelated and more well-known book 'I, Robot' (1950), a collection of short stories, by Asimov. Asimov admitted to being heavily influenced by the Binder short story. The title of Asimov's collection was changed to "I, Robot" by the publisher, against Asimov's wishes.
In the theatrical trailer, Del Spooner (Will Smith) tells Lt. John Bergin (Chi McBride) that "I'm gonna miss the good old days", to which Bergin responds, "What good old days?" Spooner then says, "When people were killed by other people." In the film, Lt. Bergin says "I'm gonna miss the good old days" first instead of Spooner.
One of the many advertisements shown on huge outdoor flat screen TVs in the future is an advertisement mentioning the first manned mission to Mars. When Spooner is at Kalvin's house after Lanning's house is destroyed, Kalvin's personal robot is watching TV, the program he is watching shows some photos of Mars taken from that mission.
The movie originally started as a screenplay entitled "Hardwired", a classical-style murder mystery that read like a stage play, and was very much in the spirit of Isaac Asimov's "three laws" mysteries. When the original "Hardwired" script eventually reached Fox, after being developed at Disney with director Bryan Singer, new director Alex Proyas and writer Jeff Vintar opened up the story to fit a big-budget studio film. When Fox acquired the rights to Isaac Asimov's story collection, Vintar spent two years adapting Hardwired to serve as a tenth story in the Asimov canon, complete with Susan Calvin and the Three Laws of Robotics. Hillary Seitz worked at one point as script doctor. Writer Akiva Goldsman came on late in the process to tailor the script to Will Smith.
When Sonny is drawing the picture of the bridge for Spooner, there is a piece of paper to the left with computer code on it. The code is that of a Renderman shader; a procedural description of a surface used to describe the robots' appearance during rendering.
There are two sheets of paper visible just before Sonny starts to draw the bridge. One is a "cheat sheet" of electronic formulas, and the second is a partial schematic of a vacuum tube based high frequency amplitude modulated transmitter, rather ancient technology to be concerned with.
The trivia items below may give away important plot points.
The idea of a robot hiding in a large group of identical robots comes from the Isaac Asimov story "Little Lost Robot", which appeared in the original book. Sonny's dreams in which slave robots are liberated comes from the Asimov short story "Robot Dreams", a sequel to the book.
Denzel Washington was offered the role of Spooner. Had he accepted, this would have been the second time he played a previously-married police officer with a bionic left arm who chases down a killer robot, the first being Parker Barnes in Virtuosity (1995).