A German character remarks that capturing Wonder Woman is something the German high command has been unable to do. Just a few months earlier in Fausta, the Nazi Wonder Woman (1976), Wonder Woman was captured by the Germans and taken to Germany. Additionally, just a month earlier in The Feminum Mystique: Part 1 (1976), the Germans had captured Diana's sister Drusilla, who they thought was Wonder Woman.
Wonder Woman's boots go from having heels to being flat soled when she scales the wall at the warehouse.
The alarm button vanishes from the room wall of the safe hotel after the first MP has activated it. When the second MP enters and is thrown back through the door, it has disappeared. It is still missing when Steve and Diana return there with the animal expert.
An obvious stunt double is used to scale the warehouse wall. Wonder Woman's headband is visible from the side before and after the climb, but during the climb the double wears it differently to where the side cannot be seen.
When Diana first changes to Wonder Woman, the lock on the baboon cage is present. After transformation, its missing.
The opening scene "A Nazi Held Section of Africa, May 1942", two of the countries shown on the map are the Republic of the Congo and the Central African Republic. In 1942, the former was the Belgian Congo. The latter was part of French Equatorial Africa.
As Steve directs the MPs to infiltrate the Gillion Oil Company building a modern parked brown car can be seen on the right of the screen and a modern blue car drives by.
All of the military police (MPs) that encounter Gargantua are carrying handguns, yet none use them. While the US Army issued Colt Model 1911 was not usually used against large animals, the number of MPs (at least 4) along with the number of rounds they could fire (at least 28) would stop the animal. If the animal had been stopped at this point, the premise of the show would have been moot.
The American animal specialist is able to reprogram the ape within a few hours, whereas it took the Germans years to do so.