When Chuck is ejected by the Colonel after the fire in the bomber, the scene changes to a parachute deploying under the aircraft, the aircraft shown is a Cessna light aircraft not a B52 that he was supposed to have been ejected from.
When they take off for the first mission, there's a very brief take (only a few seconds) of the plane taxiing towards the camera and then turning to its right. That is a different aircraft to the one shown on all subsequent shots - it has very different nose art, in a different colour scheme.
After refueling from the KC-97 on the way to Africa, before the thunderstorm, the B52 can be clearly seen with its wheels down and flaps deployed, and apparently at low altitude. Though not the case in the the previous refueling scene, this was often necessary due to the slow speed of the propeller driven KC97.
His first scene in the film, Brigadier General Acton's rank is improperly displayed. They should be positioned, centered on the epaulets, not out on the sewed-down portion. Later scenes in the film do show them properly centered.
When Lois is given the car, while MSgt. Brennan and Edith are talking a neighbour from the house in the background sneaks out on to their front porch, looks out at them filming for a few seconds, then sneaks back inside her house.
The B-52 is shown flying very low over the pyramids and Algiers, on a top secret mission. At the height it would have been spotted immediately and the secrecy blown. In any event, a B-52 would not have been allowed to fly at an altitude of barely 300 feet over the pyramids.
When MSgt Brennan is ejected, he has not connected his shoulder harness (which would have gotten him killed) and the aerial shot of the plane he is falling from is a light plane, not an eight engined jet bomber.