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.
During a six hour flight, the sky indicates that it's the middle of the day, then dusk (or dawn), then the middle of the day again.
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.
While the first flight takes off of a B-52 from the field, the camera focuses on Brenan wearing a 329 cap and the next scene shows a plane in reverse with the lettering "ECROF RIA SU."
During the 1st flight, when the forward gear fail to deploy, the plane's call sign is Nelson 15. After the KC-97 comes up to refuel the B-52, the plane is addressed as 47. This is the call sign during the long range test flight. Thus, the mistake in call sign comes from later in the movie.
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.
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.
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.
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.
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 opening F-86 vs MiG dogfight scenes, taken from The McConnell Story (1955), show the graphic "1950" but the F-86 just landed by the Efrem Zimbalist Jr character for nighttime repairs have the checker tail yellow strips markings of the 51st FIW, which didn't occur until late in 1951. All Sabres in Korea in 1950 were from the 4th wing and had the black and white D-Day invasion strips.
(About 1:14) As the B-52 is taxiing, the shadow of the camera and camera crew is clearly visible on the landing gear tires.