Continuity mistake: While De Niro is talking to Jodie Foster you can see a bus out the window. When the screen switches to Jodie Foster's view you can see the same bus driving, but then it changes back to De Niro's view you see the same bus driving up to the window again. This keeps happening throughout the scene, the bus keeps driving around the building. (01:27:00)
Continuity mistake: During breakfast, Iris suggests Travis that he could come to the commune in Vermont with her. De Niro is making a joker-esque big grinning smile in the two following close-ups, but there's another shot in between, with Robert De Niro visible only from the side in foreground, and he is not smiling at all in that. (01:28:10)
Continuity mistake: Travis Bickle is preparing for his mission. He puts the flowers in the sink and burns them, he cuts one sleeve from his shirt so he can accommodate a special retractable holster, and then...then he is writing a note for Iris, wearing a shirt with both sleeves, in a room still full of wilted flowers. (01:33:00)
Continuity mistake: When Robert De Niro shoots the pimp's hand off in the hallway (shortly before shooting Sport the second time), blood splatters on his face, across his left eye and forehead. As he stumbles up the stairs (still shooting the handless pimp), the blood has changed, and finally in the shot where De Niro pantomimes shooting himself, the only blood on his face is on his chin. (01:39:40 - 01:42:40)
Continuity mistake: During the fight in the end, Travis shoots a man's hand and his four fingers are blown apart; yet when the same man jumps at Travis as he enters Jodie Foster's room, you can briefly see two of his "missing" fingers on Travis' shoulder. (01:39:40)
Continuity mistake: Iris' Time Keeper zombie-crawls towards Travis; Murray Moston in the front view is holding the railing with his hand, he is not in the shots from the back. (01:40:30)
Continuity mistake: When Travis gets hit point-blank in the arm, there's a close-up of the gun falling down the stairs, which is re-established at the end when the camera pans back through the corridor showing the mayhem. But if you look at the shot that immediately follows that close-up, you can see Robert De Niro dropping the gun, that just bounces next to him, by the wall. (01:40:40)
Continuity mistake: The John stumbles inside the room in his dying moments and falls back with his arms spread out. In the shot from an elevated angle, with Iris screaming, you can see he is a certain distance from the radiator (and Iris' feet). In the POV shot from the door he is much closer, and when Travis is tackled by the mutilated timekeeper the dead man, Peter Savage has both arms up. (01:40:50)
Continuity mistake: In the close-up of the stabbing, Murray Moston's hand looks different compared to the previous shot. (01:41:20)
Continuity mistake: When Travis blows the timekeeper's brains out, Jodie Foster jumps away from the couch twice in two separate shots, in two different ways. She has her arms down in the wider shot when the gun goes off, but in the close-up she is making a super derpy face with one hand in her hair before making the jump. (01:41:25)
Continuity mistake: During the final cab ride, Robert De Niro in close-ups has a distinctive curl of hair across the forehead. In the close-ups of his reflection in the mirror it is not so, and same for the dialogue with Betsy. (01:48:10)
Continuity mistake: In the scene where the man has DeNiro pull over to the curb and says he is going to kill his wife with a .44 gun, there is a close up of the meter clicking over to $2.75. In the next shot from the backseat, the meter reads $0.65.
Suggested correction: The reason for that is because after Travis stopped the car, he turned off the meter. Then Scorcese's character asks what he's doing, and to put the meter back on. The $.65 indicates "$.65 first 1/6 mile" as clearly painted on the cab.
As the text of the original mistake stated, there is a close-up of the meter. A biiig one, that follows by quite a few seconds the meter being turned off. You can see the 0.65 before that close-up, you can see it after, it then changes to 0.75 and so on. This correction is totally wrong and the original post is correct.
Continuity mistake: During the same scene there is a white van parked across the street behind De Niro. Then it's gone. Then it's back.
Continuity mistake: Travis' hair is medium length for most of the movie. But in some scenes (his chat with the Secret Service agent and Iris following) De Niro's hair looks shorter. Probably these scenes were filmed after the mohawk scenes, without enough time for his hair to regrow fully.
Continuity mistake: The guns Travis purchases from Easy Andy are (regardless of what Andy calls them), from left to right, a Smith and Wesson Model 29, a Smith and Wesson Model 36, a Smith and Wesson Escort, an Astra Constable. In the overhead shots at the gun range when Travis goes to practice immediately after, some of the guns change: the first 44 Magnum is the same, but the 38 becomes a Colt Detective Special, the S&W Escort a Galesi-Brescia Brevetto 5, the Astra a Walther PPK (which is what Andy called it earlier).
