In "The Breaking Point," when Nixon is talking to Winters about someone being sent home to the states, the shaving cream by Winters' left ear changes from a lot to a little and back when the shot changes.
After Joe Toye finishes talking with Winters about how he wants to head back on the line, there is a close up of his face with his Thompson in the upright position on his shoulders, but in the next shot when he goes to talk to Bill Guarnere, the Thompson is being carried upside down
Hoobler shoots the German officer (on horseback) in the head an kills him. However, while falling off the horse, the German soldier's helmet comes off and he grabs his head. A few shots later, his helmet is back on.
Just before Hoobler shoots the German officer, the soldier next to him holds a M1 Garand rifle. In the next shot, he holds a M1 carbine, and finally when the German officer drops, he holds a M1 Garand again.
During scene's with Dick Winters, he is seen sitting under a canopy and surrounded by sandbags. The truth is there were no sandbags and canopies in Bastogne. He was dug in and sleeping in foxholes like the rest of the 101st Airborne.