Factual error: When the hitman shoots the Mustang's windshield, the damage is not consistent with a shotgun blast at close range. The windscreen is actually hit in two separated areas. Winchester would be very unhappy if their guns really shot like this.
Suggested correction: It's fairly realistic for a shotgun blast to be scattered like the one to the Mustang's windshield. Shotguns throw a loose pattern that is often random in their impact.
Trivia: Although we never know the names of the hitmen, Bill Hickman (who drove the Charger) is listed as 'Bill' in the end credits. He was so well respected for his stunt work - and had remained largely anonymous in previous films - he was given an identity for Bullitt.
Suggested correction: We do know their names. The hitmen are credited as "Mike" (Paul Genge) and "Phil" (Bill Hickman).
Deliberate mistake: Vaughn is reading the Wall Street Journal folded in half as his limo leaves the airport at the end of the movie. The headline is facing the camera right side up, which means the folded part he is reading has to be upside down. No doubt WSJ paid for the spot and demanded their name be right side up.
Suggested correction: Having just watched the movie the WSJ is folded when Vaughn enters the backseat of the limo, but as the camera moves to a front on view as the limo pulls away Vaughn can be seen unfolding the newspaper before he begins reading.
Continuity mistake: When the security guard is shot at the airport, the door is shattered by the bullet leaving a visible hole. In the closing scene, when the priest is giving the last rites, the glass in the door is intact. (01:50:00)
Suggested correction: The security guard was shot by Ross through the left door. As the priest is giving the last rites, seen through the unbroken glass of right door, the security guard who arrived on scene with Delgetti can be seen removing his hat through the shattered glass of the left door.