The number markings on the American Fighter Jet's nose change between 104 and 114 in different shots.
After the primary target is activated and the rescue helicopter is cleared for launch, we see a a SH-60 Seahawk taking off from the aircraft carrier (we can therefore assume that this is the rescue helo). Instead, the squad are rescued by a IAR 330 Puma (Romanian verions of the original SA 330 type), this Helicopter is NOT operated by the US Navy, indeed most of the helicopters in the movie clearly have markings for the Romanian Airforce, who are a user of this type.
At the end of the movie when one of the American soldiers are in a tower like building and fires a rifle out of the window. When shot from the outside the soldier has one kind of rifle, but when shot from the inside the soldier has another kind of rifle.
In the opening sequence a fighter pilot acknowledges cleared for takeoff, presses a toggle on the dash, and we see a gauge spinning up past "1.5" followed by a tail view of the jet taxiing out. However the gauge we saw was clearly marked "MACH", and going MACH 1.5 while taxiing on the ground in a jet fighter is a bit difficult.
At least some of the aboveground scenes at the "nuclear power plant" were actually filmed at an abandoned sewage treatment works. Trickling filters, sedimentation basins, digesters, and other structures associated only with sewage treatment plants are plainly visible in the scenes.
In the scenes for satellite imagery for the reactors, it shows "image analisys" multiple times above the imagery, as opposed to "image analysis".
In the dogfight between the Russian and US fighters near the end of the film, we see the Russian fighter pilot apparently enabling his cannon by flicking a switch on the left portion of his dashboard, then blazing away at the US fighter. Shortly after the US pilot maneuvers around behind the Russian and apparently arms his air-to-air missiles with exactly the same switch. The identical shot was used to show both operations in 2 completely different aircraft. This shows up again in another shot in the same sequence when we see a Russian pilot actually hitting the correct Master Release to launch a missile, but on a panel with everything printed in English. He never gets a chance to launch and the same US pilot maneuvers behind the second Russin, arms HIS missiles with the exact same panel (identical shot used for the Russian arming his) and firing. Total time between shots: 14 seconds
On the aircraft carrier, the CO is wearing a ball cap that reads SSN 798, which is supposed to be the designation of the carrier. However, SSN is the abbreviation for nuclear attack submarines in the US Navy, not for aircraft carriers.
Many of the dogfight sequences are from Top Gun. They have merely been color graded to look differently.
During the US/Russian jet fighter dogfight sequence it is clear that both pilots are sitting in the same cockpit set. The view of the seat behind the pilots is identical, even though one pilot is flying a MiG and the other is flying a Tomcat.
Close to the end of the movie, when the American is shooting out of the tower, you later see an enemy shot in the head. However, you see the blood spurt out the back of his head a second before you actually hear the bullet hit and the dying grunt of that enemy.
When the team is jumping from the airplane, you can see seven people but in fact there are only six people in the team. The seventh chap is the cameraman who is shooting the guys as they are paratrooping.
You can see the padding that the stunt guy falls on in the scene where 'The Painter' shoots the guard from the guard tower.