When Woody's character is first seen he is running towards a train going North but when he is sitting on the train, it is noticeably going South.
Right after Jude leaves The Beatles and they are chased by fans, you can see the last person in the mob slow down immediately when they're behind the trellis.
The guitar Billy the Kid finds on the train in the case Woody used has no pick guard, whereas Woody's guitar had a left-handed guitar pick guard. Also, why would an "encased" guitar be so thoroughly dusty as Billy finds it?
The phone at the Peacock's house is too modern for the time - the cord going into the handset had a clip in cord versus being attached directly to the piece.
During the Los Angeles home sequences, Claire's/Robbie's telephone number has a 310 area code, which was introduced November 2, 1991. The area code should be 213.
During the sequence when Robbie and Claire buy the motorcycle, Robbie gets out of the car to sit on the motorcycle and even though he locks the car, he leaves the headlights on.