Factual error: While the problem with refuelling the SR71 is a real one for D.A.R.Y.L., he is never going to get that far. The SR71 had no self starters and required a trained crew with a starter generator mounted on a truck to get the engines going in the first place. D.A.R.Y.L. just pushes a button and away he goes. Not likely.
Factual error: DARYL steals an SR-71 Blackbird reconnaissance plane toward the end of the film. Conceding the absurd notion that a kid could fly it (computer brain or not), the problem is that SR-71 required in-air refueling shortly after attaining low cruising altitude. It always took off with low fuel, because it was safer, and extended the lifespan of the tyres and brakes. (Not because it leaked fuel, although that's also the case, but the amount actually lost on the ground was relatively negligible). Without refuelling DARYL would have run out of fuel long before his flight ended.
Factual error: When you see D.A.R.Y.L. in the SR-71 Blackbird there are many shots of the cockpit. There are too many screens, in fact, the only "computer" screen in the Blackbird is in the copilot's part of the plane, D.A.R.Y.L. also did not have a copilot. If you don't believe me, check out http://www.wvi.com/~sr71webmaster/image2~2.html.
Factual error: At the time the SR-71 was operational, it was classified as black ops. That is as highly classified as you can get without actually knowing what it is about. The security details for the SR-71 were armed guards stationed around the plane 24/7. Anyone getting near the plane would be shot without questions. The idea that only a trip wire and a single guard dog were watching over this highly regarded secret plane is absurd.
Revealing mistake: When Daryl plays F1 Pole Position, the camera shows the full television screen for four seconds. The time remaining for each lap is decreasing faster than time progresses. Within three seconds of film, roughly six seconds pass in-game. When the car moves faster later on, the screen is tightly cropped to hide effects on the statistics. From the graphics this is the Atari 5200 version, which cannot compute quickly enough to represent that speed visually, and the score of 79950 is normally attainable, so the game itself is unchanged. The only conclusion is that the video is simply sped up.
Continuity mistake: During the car chase on the freeway, when Daryl drives the car with the doctor off a ramp, the camera shows the car head-on as it lands, again as it drives past the camera, and from the rear as it drives away. In both shots of the same ramp scene, a tall adult is in the driver's seat, and the passenger seat is empty. Less than a second later, the rear silhouettes of a tall person driving and a short person in the passenger seat are visible, and three seconds later Daryl is driving with the Doctor.