Day of Days - S1-E2
Audio problem: When Easy are attacking the 88 battery, in the scene where Buck scouts out what's ahead of him before throwing grenades, you can see a soldier holding an MP40 (machine pistol), who fires one shot with the sound effect of a Kar98 rifle. (00:31:50)
Day of Days - S1-E2
Revealing mistake: When placing the German grenade into the barrel of the German, gun you can see the cord used to set timer is still attached. (00:36:40)
Suggested correction: The cord doesn't have to be fully removed for it to work so showing it like that is not a mistake. The grenade will smoke quite a bit if the primer is ignited so even if the cord isn't fully removed they'll know quickly enough the pull was hard enough to ignite it.

Day of Days - S1-E2
Continuity mistake: Winters, just before the assault on the 88 Battery, holds up his hand to give a signal to the other members of the team. Camera cuts and he makes the signal again. (00:29:10)
Day of Days - S1-E2
Visible crew/equipment: Early on the camera pans from outside the aircraft into the jump door and looks at the men. When the camera moves in a shadow moves over the guy sat by the door. (00:06:20)
Day of Days - S1-E2
Character mistake: Winter calls his officer Major Strayers, when actually Strayers was a Lt Colonel. Winters made the same mistake in Currahee when walking upstairs with Capt Sobel.
Suggested correction: Strayer didn't become a Lt. Colonel until 1945. In fact, Winters took over leading 2nd battalion of the 506th from Major Strayer when he became a Major and Strayer was promoted to lead the regiment.
Day of Days - S1-E2
Factual error: The artillery cannons at Brecourt Manor are pointing south instead of north as they should be.