Continuity mistake: After Steve explains to SHIELD that Hydra is working alongside them, one of the World Security Council members calls Alexander Pierce a smug son of a bitch. Three agents then walk into the room and one of them points a gun at one of the council members. The gun is first aimed at his head, then slightly lowered to his chest, then back to being raised and aimed at the head again. (01:37:15)
Continuity mistake: When Steve is explaining who Arnim Zola is to Romanoff, Zola says to them "Look around you. I have never been more alive." At the end of this line, Romanoff is shown turning her head to the right. In the next shot, she's suddenly looking back at Zola. (01:00:45)
Continuity mistake: In the elevator, when Agent Rumlow says "Sorry about what happened with Fury. It's messed up, what happened to him" and Steve replies "Thank you", Rumlow lowers his head. Next shot, his head is suddenly raised. (00:45:10)
Continuity mistake: When Steve is talking with Peggy, just as Peggy says "My only regret is that you didn't get to live yours", there are a few vertical line shaped creases on her pillow. The shot then cuts over to Steve, but when the shot cuts back to Peggy, the vertical crease furthest away from Peggy has decreased and the vertical crease in the middle of the creases has slightly increased. (00:19:40)
Continuity mistake: When Steve is fighting the terrorist who told him to remove his helmet, the fight begins out in the open. Steve is then shown in one shot kicking the terrorist enough times he falls back into a compartment with loads of weaponry. Then in an instant, they are suddenly back to fighting out in the open and most certainly not in the compartment. This has nothing to do with the angle of the camera. (00:11:45)
Continuity mistake: After Steve has taken out all the terrorists guarding the boat, the other SHIELD agents land on the boat in parachutes. As soon as Romanoff lands on the boat, she continues walking with Steve and begins conversation. From the reverse angle, Romanoff is visibly in front of Steve, but from the sudden following shot from the side, she is suddenly standing behind him. (00:06:55)
Continuity mistake: When Steve goes to pull open the cabinets to reveal the secret elevator, there are cobwebs covering part of the cabinet. Next shot, the cob webs have vanished. (00:58:15)
Audio problem: After Alexander Pierce discovers Nick is alive, Pierce starts explaining the intention of his plan to him. A reverse angle of Pierce is shown where he says "You didn't ask. You just did what had to be done. I can bring order to the lives of seven billion people by sacrificing 20 million." His jaw doesn't seem to be matching up with his speech. (01:42:00)
Continuity mistake: After Nick's car has crashed and The Winter Soldier begins to approach the car, one shot shows there to be a load of glass outside the car door. When the Winter Soldier approaches the car, the amount of glass has decreased. (00:31:25)
Continuity mistake: When the guy is standing on the roof of the car shooting at Captain America, the empty shell cases are landing on the roof at his feet, shown in a close up. When Captain America attacks him and flips him onto his back, the shell cases are gone. (01:16:25 - 01:17:00)
Continuity mistake: During the Nick Fury chase scene the amount of bullet holes and the damage change during the whole scene.
Continuity mistake: When Steve and Bucky are fighting, Bucky eventually lets go of the chip after Steve finishes choking him. The chip is first shown to be right next to the window frame, but when Steve goes to pick up the chip, it is suddenly several inches away from it. (01:47:20)
Other mistake: When Zola's algorithm is deployed and begins it shows the radius which barely reaches Staten Island, however it finds Tony Stark in NYC.
Suggested correction: The initial targeting radius shown at 1:53:27 is as you say. But the radius keeps growing. At 1:53:50, it is still growing and has almost reached Lake Ontario.
Suggested correction: It's possible certain people were pre-programmed in.
Continuity mistake: When the police ambush Fury, one of the police cars rams Fury's car from behind and its hood is wedged underneath Fury's rear bumper. But when Fury puts the car into drive to flee from the police, the police car has suddenly backed up a few feet. Fury's AI accelerates the car forward but doesn't move the police car that's blocking Fury in from in front either, and this can be seen because the battering ram is still next to the driver side window. (00:27:50 - 00:29:50)
Continuity mistake: Just after Nick has escaped the "cops" before being chased by them again, Nick tells the car AI to initiate vertical takeoff and the shot then cuts to an angle of Nick from the side. On one side of the windscreen are bullet marks from where the gunmen had fired, and no sign of any bullet marks on the other side. The shot cuts to then show Nick shifting over to the driver's seat and by the next shot, there are suddenly bullet marks all around the windscreen and they are much bigger. (00:28:35)
Continuity mistake: Just before the Winter Soldier ambushes Steve, Romanoff, Sam and Sitwell in the car, Steve suggests they use Sitwell to bypass the DNA scans and access the Hellicarriers directly. Sitwell then says it is a terrible idea and Steve slightly turns his head to the mirror in the centre of the car, then in the next shot, his head is suddenly turned to Sitwell. (01:13:25)
Visible crew/equipment: When Romanoff runs into the hospital room (with Steve and Agent Hill already inside) to see Nick being operated on, you can just make out a white tape marker near the bottom of the wall showing where Romanoff is supposed to stand. (00:36:20)
Continuity mistake: After Steve and Romanoff dodge the grenade the terrorist throws at them. Romanoff is shown to be lying against some knocked out blinds that are closed in. In the next shot the blinds are suddenly closed out and her head is now only lying against half of them - the other half of her head is shown lying against the wall. Steve's facial expression also differs between shots, and Romanoff's head moves position. (00:12:45)
Continuity mistake: When Romanoff states to Steve a missile is headed for them, she is shown holding her phone with four of her fingers placed around the phone and her thumb placed on the phone's screen. Then in a close-up all four of her fingers and her thumb are now completely placed around the phone. Then back to having four of her fingers around the phone and her thumb on the phone's screen. (01:03:15)
Continuity mistake: When Steve approaches his apartment door, his neighbour Kate finishes a conversation with her aunt on the phone. She then puts the phone in the basket containing all of her laundry. The phone is first shown to be a few inches away from the box of washing powder, then it moves a little bit closer to the box, then a few shots later, the phone moves even closer to the box. (00:32:20)
