Visible crew/equipment: As the boat crew steps ashore to find Kilgore, the obvious shadows of two crew and their equipment are seen moving across the backs of the soldiers and then the raised netting slightly further away. This isn't the documentary crew they meet shortly afterwards, who are further onto the mainland. (00:27:20)
Suggested correction: In this scene, the boat crew immediately encounter a camera crew filming the soldiers. This is their shadows.
While they do encounter a documentary film crew, this does not happen until a few seconds after the mistake occurs. The shadows of the film crew are shown when they are walking onto shore, whilst the documentary film crew are shown more onto the main land. Plus, it seems a little weird Francis Ford Coppola would decide to randomly include shadows of a documentary film crew when the cameo doesn't happen until a few seconds later. Clearly this is the shadow of the camera and cameraman cast on them, and is a valid mistake.
Continuity mistake: When Jonathan returns to his town and don't recognize his wife, his coat disappears in the next shot when he ask to the man beside him who she is. He didn't have the time to remove it. (01:14:15)
Continuity mistake: In the scene where Jesus feeds the multitude, Jesus holds the two baskets with his hands under them, the next immediate shot shows Jesus holding the baskets by gripping the sides.
Continuity mistake: When Doc is painting himself in the yard, the amount / position of grey marks on the painting differs. (00:22:50)
Character mistake: USA flags are supposed to be displayed with the Union (blue area) on top left corner, whether it's displayed horizontally or vertically. USA missiles at times displayed the flag backwards. Also, at the end of the movie, the flag hung on the hangar next to the USSR flag is backward. (01:40:57)