Continuity mistake: Notice Marty's hair in the scene when he's playing "Johnny B. Goode." It's quite larger than when he says, some seconds later, "I guess that you're not ready for it yet." That's because when he says that, it's a recycled shot from the original BTTF, whereas most shots showing he's playing the guitar are newly made for BTTF2. However, Marty's hair is considerably longer in the new shots.
Continuity mistake: When Marty (the Marty wearing the dark clothing) is at the dance and the Marty of 1955 is on stage is about to sing Johnny B. Goode, you can hear the 1955 Marty saying "this is a blues riff in B, watch for the changes and try to keep up" through the microphone. Yet in the original, Marty looks away from the mike when he says this and is unamplified. The quote is different as well. He says "this is a blues riff in B, watch for the changes and try to keep up" in part I, but in part 2 he says "this is a blues riff in B, watch me for the changes and keep up, OK?" (01:24:25)
Continuity mistake: In the part where Marty is trapped in Biff's garage, Biff's rear view mirror on his car is at the very top of his windshield. Later on when Marty is holding on to the car with the hover board the rear view mirror is in the middle of his windshield. The rear-view mirror was lowered about six inches or so. (01:10:12)
Continuity mistake: In the Café 80's just after you hear Marty say, "It is Wild Gunman", notice the three people sitting in the second booth from the back wall. When the scene changes to Marty throwing his hat on top of the game, you can see that the people have changed tables. You can also see that they are gone again when it shows a close-up of the two kids. (00:15:18)
Continuity mistake: In the scene where the 1985 Jennifer is in her 2015 home and says "I get married in the Chapel-O-Love?" right before she picks up the picture note the Chapel-O-Love picture and frame on the bookcase behind her. After she picks it up and drops it leaving it on the floor she looks for a place to hide. Later on when the old Lorraine and George are in the living room, take another look at the picture on the bookcase; the Chapel picture is set back up. You could argue Lorraine would have had enough time to set it back up. But look at the Chapel picture; it's inserted in the frame upside down. You can tell by looking at the frame stand behind it. Meaning someone physically removed the picture and put it that way. (00:28:18)
Continuity mistake: If you look very closely, after Marty flips on the little girl's hover board and is laying on his stomach, when he goes to get up you can see that he's wearing regular lace style tennis shoes and not the auto-lace high tops that Doc gives him as soon as they get to 2015. You may need to pause it to see them. (00:18:56)
Continuity mistake: When Marty avoids Griff and his thugs by jumping in the water off his hover board, his hair gets wet. After his coat dries his hair he rubs his hand through it. It gets all messy and crazy and uncombed. The very next shot shows him talking to the girls with perfectly combed hair. (00:21:33)
Continuity mistake: In the first BTTF movie, when Lorraine and Marty are sitting in the car, Lorraine takes off her coat and then asks Marty why he's so nervous. In this movie, when Marty is crouching down to get past the car, Lorraine looks at 1955 Marty and asks him why he's so nervous without taking off her coat.
Continuity mistake: In Biff's apartment in alternate 1985 while Biff and Lorraine are arguing he knocks her to the ground and both her shoes come off. After Biff punches Marty in the stomach it then switches again to show Lorraine's reaction. As it does this we see her on the floor but her shoes are back on her feet. She could have had enough time to put them back on possibly but it seems unlikely that she would have done so as she is laying in the same position as when she was knocked down.
Continuity mistake: At the clock tower scene at the end of the movie, you can see the DeLorean drive past a line of shops that are about 25 yards from the clock tower itself. However, in the next shot of the DeLorean, you can see that it has only gone about 50 yards from the Bluebird Motel (where it started from). In addition to this, even if there were some identical shops further up the road that Marty went past (which there more than likely aren't), you can't see any on the next shot. These shots are chronologically incorrect.
Continuity mistake: When Marty gets the sports almanac in the tunnel, he flies on the wall with his left foot in the hover-board's strap. When he flies over the car and lands on the hover-board, his right foot is in the strap of the board. After that it keeps switching legs and in or out of the strap. (01:33:00)
Continuity mistake: In the scene after Marty is leaving the school hall after his performance, Lorraine and George bump into him backstage and Lorraine says, 'Marty that was very interesting m... music' with a stutter. However in the first film when she says the same line in the same scene she says it without a stutter. It is meant to be exactly the same line and scene from the previous movie.