When McCroskey informs Striker about Joe Salucci, he doesn't mention ether the insurance nor Salucci's impotence. Yet Striker mentions both when he confronts Salucci.
During the airport security screening, the TV is supposedly displaying what we can see. There are two people in the background (on the TV) but not in the main picture.
In the opening in the airport, when Scraps the dog is first shot he's on a leash. When they cut back, there's no longer a leash.
When Ted lands the shuttle on the moon, it bypassed the moon colony and crashed as it did it spun around so the nose was now facing to the Base, later in a long shot, when everyone was jumping out of the shuttle the long camera shot shows a long deep trail left by the shuttle crash, yet there is no spin out trail and the shuttle nose is facing away from the base
Just before the kid messes with the controls to make the shuttle spin wildly, the computer graphic is already showing the shuttle spinning wildly.
During Striker telling "his story" to Dr. Stone, he says, "fate dropped me into the seat of a 767 into Chicago with no crew." In Airplane!, Striker tells Dr. Rumack that the plane has four engines ("It's an entirely different kind of flying, all together."). A 767 only has two engines. There has never been a four engine variant of the 767. Also, Airplane! takes place in 1980. The 767 did not go into commercial service until September, 1982.
During its runaway course, the passenger shuttle travels through an asteroid belt just before heading straight for the sun, implying that there is a major asteroid field between Earth and the Sun. There are no asteroid fields of any kind between Earth and the Sun. The main asteroid belt is located between the orbits of Mars and Jupiter. There are also several other minor asteroid fields, but all of them are located near the edge of our solar system and/or beyond the orbit of Neptune.
When the shuttle lands on the moon, the disembarking passengers are completely unaffected by the moon's lack of atmosphere, oxygen, gravity, etc, despite no protection whatsoever.
A moon shuttle couldn't possibly have enough fuel to head into the sun. You can't "fall" into the sun without zeroing out the momentum of the orbit of the Earth around it.
When Ted lands on the ground outside the mental institution, it ripples under his feet, showing that it is solid pieces of fake grass.
When Ted Striker inspects the door that reads "Danger Vacuum" and the vacuum comes to "attack", his hair is clearly being blown backwards instead of being pulled forwards towards the vacuum.
During the shots of the shuttle in space, at various times a black bar seems to block out the stars as the shuttle flies by them (happens to the left, right, and under the shuttle). Obviously an arm holding the shuttle.
When the two medieval people pour lead onto the crowd outside the control tower, they are using their hands. Molten lead would be too hot to handle a vessel with only hands. The size of the vessel would also be too heavy to pour with just hands.
When Oveur speaks the line, "You can tell me, I'm the captain," his voice sounds as though he is speaking into some kind of microphone, but he is not.
As Striker is attaching the bomb to the control panel, a crewmember is reflected in the controls.
When Ted Stryker is attempting to land the shuttle, he makes reference to the events of Airplane! (1980) and talks about landing a Boeing 767 in Chicago. In "Airplane!" he was landing a Boeing 707. The Boeing 767 was not in service until 1982.
Commander Murdock is addressed as "Captain" by another officer.