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Factual error: Cochrane chases Murphy in a Hughes 500 which has a top speed of 147 mph and easily keeps up with him, demonstrating that Blue Thunder's top speed is less than 150 mph. The F-16s sent after Blue Thunder have a stall speed of 175 mph. They would have to slow down to the point of falling out of the sky to have a shot at Murphy. Its utterly impractical and far more likely that the military would have sent AH-1 Cobra attack helicopters after him.
Continuity: In the climactic chase scene, when Murphy is shot through the window, he is shot in his right arm and there is a hole in the window with blood on it. When he does a 360 degree loop in the helicopter the broken window and blood appears on his left side—the opposite window to that which he was shot through.
Other: Look carefully at the helicopter during the strafing scenes; at one point, the gunfire is not coming from the Blue Thunder at all, but from a Bell helicopter at a distance. Also, when we see the Blue Thunder helicopter during the attack, the cannon does not seem to be pointing at its targeted shots, let alone turning.
Other: The weather in L.A. sure is interesting, as well as the sunset/nightfall time. Near the end, before Frank Murphy notices the train and lands the helicopter, it is near sunset. The sky is still blue when we see a close-up of the train operator. By the time the latter notices the helicopter flying above the train, it is already night time. And just before landing on the rails, at night, the helicopter hovers a bit, and you can see that it is raining. When Frank exits the helicopter, it is a clear night.
Deliberate "mistake": When Cochran sabotages the Jet Ranger helicopter by loosening the nut on the bolt securing the linear actuator governor, the bolt is inserted in the wrong direction. The bolt should have been heads up to prevent it from falling out as it did causing the helicopter to crash. Moreover, the linear actuator is on the opposite of the engine from where Cochran disconnected it.






