Visible crew/equipment: During the general's speech about how Blackadder is the person to organise a concert party, look at the entrance to the trench. In one shot you can see a crew member moving a giant cloth. You see mostly the movement, but you can catch a glimpse of the crew member's face. (00:06:50)
Other mistake: When we first see the plane that Blackadder and Baldrick are flying, the machine gun on top of it is firing. There are 3 mistakes here. 1) We don't hear the gun fire. Cannot be argued by the plane drowning it out, as we later hear the Red Baron's gun firing. 2) In the next shot, the gun has stopped firing. 3) The fact the gun is firing is ignored by Blackadder and Baldrick. They are too busy on keeping the plane level - the whole flying scene was obviously archive footage of WWI planes flying.