Continuity mistake: After Mia tells Vincent to fix himself a drink, he starts walking over to the bar. Between shots, his jacket changes hands. (00:33:10)
Continuity mistake: In the pawn shop, Butch punches Marcellus in the head several times then grabs him by both shoulders. But after Marcellus says, "You better kill me," the shot changes and now Butch suddenly has his fist clenched again. (01:36:15)
Continuity mistake: When Butch crashes and Marcellus shoots the woman, there's a second woman next to the door, and a white cup next to her. In the wide shot the cup is gone.
Revealing mistake: In the iconic Big Kahuna burger scene, Brett gets shot in the shoulder, a normally highly debilitating injury. However, in the frame before he is killed, he throws back his arms with the ordinary range of flexibility, and it becomes obvious that the actor's mobility is not really impaired, and he was only faking an injury.
Continuity mistake: After Fabienne asks Butch about his hard day at the office, Butch turns away from the hotel room window and starts walking towards the bed. But in the next shot his head is facing the window once again. (01:15:55)
Chosen answer: Tarantino is big on tribute to older films and filming techniques, hence the projection-style background.
Captain Defenestrator