Continuity mistake: When Travis is with the gun salesman, he is trying out the black gun. You see a close up shot of him holding the gun with his arm outstretched with his jacket on. In the very next shot (no time has elapsed) his arms are at his side and his jacket is now completely off. (00:56:50)
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: 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: In the scene where De Niro shoots and kills the man robbing the convenience store, the clerk takes De Niro's gun off of him and starts beating the already dead body with a pole. If you watch the scene carefully, the dead body changes positions contrary to how the man is hitting him. Clearly the scene was shot several times with the dead body being placed in different positions. (01:09:40)
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: 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.
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)Sammo
Continuity mistake: During the breakfast scene Travis calls Sport "a dope shooter." He puts his fork down saying that line (you can hear the noise too) but with the camera back on Jodie Faster, Robert De Niro's hand is at the border of the frame holding the utensil exactly like before. (01:26:20)Sammo
Continuity mistake: Iris walks into the room after Travis talked with the timekeeper. She moves past the beaded curtains and De Niro follows her. The bead strings oscillate with a difference of pace/momentum depending on the angle (they move more in the angle with camera behind Jodie Foster, because she really passes through them, and they are moving less in the shots with De Niro's face). (01:19:25)Sammo
Continuity mistake: Travis plays with his foot on the TV and ends up breaking it. The TV set falls back in a dedicated view where it choreographically crashes at an angle and explodes. However, when we see De Niro sobbing over what happened, we also can get a peek at the very right of the frame and see a very much whole TV, lying parallel to the floor, screen still lit and working. (01:14:25)Sammo
Continuity mistake: A policeman approaches Travis' taxi and tells him to leave; during that, as he is clapping his hands yelling "c'mon" in a super New Yorker way, a guy in a maroon shirt is pushing a cart behind the cop. Travis takes off in the next shot, and passes by, in front of him, the same guy that just went the other way. (01:12:50)Sammo
Continuity mistake: Once the store owner tells him he's gonna take care of everything and starts cursing in Spanish, Travis walks away from the store. You can see when Melio is bashing the Stick-Up Man that Travis left and nobody is in sight, but in the last overhead shot you can see someone's legs in the doorway. (01:09:40)Sammo
Continuity mistake: Taking a fatal bullet from Travis, the robber falls back. He is not just breaking the snack display cabinet, but also knocking one of the dirty Spanish magazines off the clothesline. The magazine falls with him and gets all crimpled between his arm and the counter, but vanishes entirely in the rest of the scene. (01:08:50)Sammo
Continuity mistake: Travis just fed to the security guy a phony name and address. He walks away. Look when the security guy urges the photographer to take a picture; behind the photographer there is a woman in a rather flashy orange dress, with orange headband and round sunglasses worn on top of that. But that same woman is also in front of Travis walking away, and one of the first to greet the senator. Likewise, when he shouts "Damn it!" a photographer with a brown shirt passes behind him, and it's the same one that passed behind Travis in the previous shot. (01:05:30)Sammo
Continuity mistake: In the arms dealer scene, De Niro puts the last gun down with the others he is purchasing. It's at the exact angle as the others, pointing to the right, but in the close-up of the suitcase with the holster on top of the selection, now that gun (the so called "."380 Walther") is angled left, opposite of the others. (00:57:00)Sammo