Revealing mistake: About 3/4 through the movie, Bradley Cooper and his wife are talking in a bedroom or nursery. He takes his daughter and holds her - the baby is clearly fake.
Continuity mistake: A brave captive is dragged to Artemisia who is eating an apple. It alternates between being green or red throughout the scene. (00:21:35)
Continuity mistake: As "Fury" and her crew roll towards the house/aid station, they pass by a gate. The next shot shows the tank still some distance from the gate. (01:23:10)
Continuity mistake: Claudette tells Lance they need to go back for the children. When she does he holds her down with one hand and has his gun vertical in this shot. Camera changes and now his gun is lowered. (00:12:40)