When the German fighters taxi and take off have they red noses and "Hellblau" (light blue) fuselages. In the first shot of them in flight they have yellow noses. In the combat shots, one of them has a black nose and a camouflage pattern fuselage.
At the rocket test site, some German officers are standing around talking. After they turn and walk to the bunker, there are seven men surrounding one woman who wasn't there before. In addition, there is a man in civilian clothing, who appears to be running to catch up. As they enter the bunker, there are only five men in uniform and the woman is no longer with them.
According to the German commander, the V-1 launched from Peenemünde would supposedly reach London "in a few minutes". The V-1 had an operational range of about 250 km and attacks against London were launched from France, taking a little over 20 minutes to fly the distance. Peenemünde is over 1000 km from London.
During the Luftwaffe's attack on the Vipers the stock footage used shows that some of the German pilots are flying British Spitfire fighters with Royal Air Force roundel markings on the wings.
The stock footage of the German fighters in flight has been reversed. All the insignia and numbers are backwards.
The instrument panel of the German fighter is labeled in English. (The stock footage of the cockpit and instrument panel is of a British Hawker Hurricane.)
One if the Nazis shouts "Eilen Sie!", which is a half baked translation of "Hurry up!" that no German would say. Correct would be "Beeilen Sie sich!", but far more realistic in this context would be a simple "Schneller!" ("Faster!").
When Troy and Dillon are approaching the Battlestar Galactica in their Vipers with Jamie Hamilton you can see to the rear of Jamie in the cockpit window, a hand waving from outside.
The freight cars at Peenemünde are American, not German.
When Troy, Dillon and Jamie leave in the Vipers to travel back in time they are all wearing standard Warrior uniforms, including the standard boots. After they arrive in 1944, their uniform trousers and footwear changed to bell bottoms and white shoes. When they come back they are back in standard uniform and boots.