When Remo is first approached by the thugs, we see that he is standing on the scaffolding even with Lady Liberty's face. He then gets forced backwards, grabs onto a pole that breaks free and swings out away from the statue. The shot from below shows Remo, hanging from the pole, at the height of Liberty's feet. He then slides down the pole to the next lower level, and then is back on the scaffolding even with Liberty's face.
When Remo climbs down the hill to search the wreckage of the logger's truck in search of Chiun, we see the truck wreckage in a different setting (more trees, different topography, different placement of scattered debris, etc.) than the setting in which we just saw the truck come to rest a moment earlier.
While hanging from the Ferris wheel, Remo's hands continually alternate between the top of it and the safety cage between shots.
Remo's shoes change from sneakers to thin black slippers before crossing the high wire.
During Remo's first fight with Chiun, Remo falls on a lamp, breaking it, and the light goes out. In the next shot of Remo, the lamp, lying on the floor, is lit again.
When Remo first encounters Chiun and begins shooting at him (about 22:00), he fires eight times with a Colt 1911 .45 ACP automatic pistol, which holds 7 or 8 rounds depending on the magazine. Chiun removes the magazine and removes four rounds which would not be possible as the magazine should be empty. Also, once Remo had fired eight times, the slide should have locked back indicating it was empty, which it did not.
When Remo is attempting to shoot Chiun, he fires 8 rounds from his Colt 1911 pistol. Chiun then removes the magazine and pops more rounds out. A standard 1911 magazine only holds 8 rounds. Para Ordnance, the first company to make a 1911 copy with a double stack magazine holding more than 8 rounds, didn't begin manufacturing them until after production wrapped on this movie in 1984. So it can't even be one of their prototypes.
When Harold Smith is reviewing the video profile of the engineer, the voice over states he has a "B.A. in. . .Engineering." Engineering degrees are bachelors-of-science, not arts.
Using a Colt 1911 .45 semi-automatic, Grove fires 9 shots at Remo, who avoids them all. Then he grabs the gun and ejects the magazine. He then thumbs the two remaining rounds out of the magazine leaving one in the chamber). This makes a total of 12 rounds for a gun that only holds 8.
Towards the end of the movie, Maj Fleming tells Chuin, "they will court martial him", pertaining to Remo, but Remo isn't military and it wouldn't be court martialed. But Remo led her to believe he was Military Intelligence and so she assumes he's Army.
When the Dobermann follows Remo across the wire, the Dobermann's feet disappear behind a matte painting used to conceal the flat surface. The wire itself is invisible, with only the division between the matte and the background defining it. At the end of the shot the Dobermann even starts to run across the "wire".
When Remo practices jumping across the apartment, support wires are visible.
While hanging on to the outside of the cabin on the Coney Island Wonder Wheel, the safety wire attaching the stunt man to the cabin is visible.
As Remo descends to get a closer look at the Harp satellite by sliding down a guy wire, holding on with his hands, we see that the stunt man is holding on to a rope wrapped around the wire. When Remo lands, he is again holding on with just his hands.
During the fight on the Statue of Liberty, as Remo falls from the plank bridge and grabs a nearby pole, the stunt man's safety cable is clearly visible.
On the DVD cover, Remo has a bandage on the pointing finger. Nowhere in the movie does he have a cut finger - or wear a bandage.
When Remo is hanging on the log and Grove is shooting at him with the machine gun from the Jeep, there is gunfire but the gun isn't firing.
When Remo is lying down breathing with Chiun standing on his chest, the breath sounds do not coincide with Chiun's rising and falling.
When the truck speeds down the road without brakes, the tires squeal. It is on a loose dirt road.
Remo Williams is wearing PFC rank on his jacket lapels but not his hat.
Chiun calls Alexander the Great "The Persian Boy." Alexander was Macedonian.
Mac tells Remo to: "Grab that dozer." The vehicle isn't a bulldozer but a tractor with loader.