Factual error: Just before they start to discuss the Mobile Launch Platform that has been hijacked in the Indian ocean, their GPS position is displayed on the bottom right corner of the screen INDIAN OCEAN Lat: 16N 55' 12.06" Long: 72N 56' 7.09 Longitude should be East/West, not North/South, plus the notation is incorrect. It should have been 16°55'12.06"N, 72°56'7.09"E. (00:03:43)
Continuity mistake: When Steve and Natasha visit Sam in his apartment, in one scene, Natasha's hair is wavy. In the very next scene, her hair is pin straight.
Continuity mistake: When confronting Nick Fury about Black Widow's mission aboard the Lemurian Star, Cap puts his hands on his hips. In the next shot, his hands are down at his sides. The two shots alternate several times, showing the error. (00:14:20)
Continuity mistake: After his last fight with Bucky Steve gets a few wounds on his face, which disappear when he comes out from the water.
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 Fury and Pierce are talking before the retinal scanner they are beside each other but in the next shot they are several feet apart.
Continuity mistake: When Bucky attacks Cap and the others on the freeway the sun is changing in every shot.
Continuity mistake: During the beginning of the scene where Steve is ambushed in the elevator, one of the Shield agents is seen removing his shield from his back and placing it to the side. We then see someone hit the emergency stop button for the elevator, after which it cuts back to a wide shot where we see a different agent remove his shield again. (00:47:55)
Continuity mistake: When Romanov swings under the bridge to escape the Winter Soldier, she sees his position by his shadow, indicating that the sun is behind them. The shadows from pedestrians and vehicles in the shot are pointing the other way. (01:18:43)
Factual error: When Cap, Falcon and Black Widow are being arrested after fighting the Winter Soldier in DC, a new helicopter shows up with a "K" call number, which are reserved for western stations. DC stations use "W" call numbers.