The book originally had two titles: Harry Potter and the Sorcerer's Stone was its name in the States and Harry Potter and the Philosopher's Stone was the name in Great Britain and the rest of the world. This meant that every time someone used the term in the movie, they had to shoot the scene twice: once where the person said "Sorcerer's Stone" and once where he or she said "Philosopher's Stone." (Source)

Did you know that the entire Harry Potter series, including this one, failed to win even one single Academy Award? Not even one for visual effects. Yeah, that's one the Academy can hang on their Wall of Shame. (Source)

The books say that Harry has green eyes. Daniel Radcliffe has blue eyes. On the first day of shooting he wore green contacts, but they hurt his eyes and the idea was abandoned. You can still see a few shots—in the last scene as they board the Hogwarts Express to go home—where Radcliffe sports green eyes. (Source)