Continuity mistake: When Randy Shugart and Gary Gordon arrive to defend the downed chopper, Shugart is shooting his rifle as a right-hander, but in one short sequence as they're pulling Mike Durant to cover he is shooting as a left-hander. The shot has obviously been reversed as the bolt of the M14 and the height adjustment knob on the aim point optic are on the wrong side of the rifle. (01:29:00)
Suggested correction: You can see him change shoulders as he goes back into the building.
The mistake is valid. He's shooting with the rifle against his right shoulder and you can see the flag patch on his right shoulder. In the next shot, after the guy is pulled out, the rifle is against his left shoulder and he turns, he doesn't change shoulders as the rifle is still against his left shoulder after he turns. However, there is no longer a flag patch on his right shoulder, meaning the shot was flipped as indicated.
Continuity mistake: When the two Delta Force members are defending the second downed chopper one of them shoots an attacker and he does a unique side flip as he dies. After the story progresses a few minutes we see the same attacker shot and flipping again but from a different camera angle. (01:30:33)
Continuity mistake: When the soldiers are trying to clamp Jamie's femoral artery, there is a shot of Jamie's head and a comrade next to him holding it. He has no blood on his head, but all of a sudden it just appears. It wasn't from his leg as his comrades were putting pressure on it at the time, so it wasn't squirting blood. (01:42:05)
Continuity mistake: In the scene with the aerial view of the Rangers pinned down at night the camera uses night-vision to show its dark. Then the scene changes to General Garrison in the command centre and the live TV screens behind him show reused daytime footage from earlier in the movie. (01:52:01)
Continuity mistake: After the failed femoral artery surgery attempt, that soldier slowly dies. When he finally stops breathing the medic jumps in to do CPR. The soldier dies with a blank stare, but during the shots of the medic doing CPR the dead man's eyes are closed. (01:54:40)