Another big error in the movie was the 4 Shermans vs 1 Tiger engagement.
1) Any tank commander is trained to take out the lead enemy tank in the column. That is usually the platoon leader's tank and that leaves the platoon confused with no leader. Also, in the movie, the lead tank was Fury, which was an E8 model with the British 17 pounder gun. Its very distinctive with a much longer barrel and the only tank among the 4 capable of killing the Tiger at a decent range. SO, mistake one.
2) The 4 Shermans turning into the Tiger and rushing at it to close the range is the correct tactic. But the Tiger coming out from the treeline to move towards them is a big movie error. Tiger tanks with the 88mm know they have the best gun in the world. They destroyed the last tank in the column from the tree line. They can easily stay put and destroy all the SHermans long before they close the range. The Sherman 75mm gun cannot penetrate the Tiger even at 500 yards, so why bother to help them close the gap?