Continuity mistake: When the spaceship first springs a leak and begins to sink, the interior shots show it tilting to starboard; Taylor falls against the starboard bulkhead and the other two survivors need to brace themselves from slipping. All of the exterior shots of the ship show it level from port to starboard.
Continuity mistake: At the end of the movie when Taylor and the woman find the ancient ruins of the Statue of Liberty, their distance from the statue seems to change between shots. In the first shot (when it only shows them and the torch) they seem to be almost next to it. In the next shot (when it only shows them and the crown) they are farther away. And in the last shot (when it shows Taylor kneeling from behind and the full torso of the statue) he is even farther away from it.
Continuity mistake: Shortly after the astronauts crash land in the desert lake, they discover that the female crew mate is dead, her body is mummified due to an air leak in her cubicle. The mistake is that when her body is first seen, the arms and hands are folded across her chest. Seconds later, when the water starts rushing in, the point of view from inside her cubicle shows her arms at her sides.
Continuity mistake: Towards the end of the movie when Taylor, Cornelius, Zira, and Nova are about to enter the cave, Zaius arrives with his crew. Taylor comes running back taking a few shots at the soldiers then he points his gun at Zaius. In a frontal shot you will notice the gun he is pointing has a strap on it tucked under his left hand as he is aiming. The scene goes to a rear shot of Taylor in the foreground and Zaius in the background on the beach. Look close at the gun Taylor is pointing and you will see the strap hanging free. As the scene returns to a frontal shot you will see the strap is tucked under his left hand again.
Continuity mistake: When Taylor, Landon and Dodge discover the humans, when Dodge says "Blessed are the vegetarians", both Taylor and Dodge are standing even with each other and Landon is standing about an inch or two behind Taylor and Dodge. In the next shot, Landon and Dodge are standing even with each other and Taylor is standing almost a foot away from Landon and Dodge.
Continuity mistake: After the ship has sunk, Taylor, Landon and Dodge make camp on some rocks. In the shot where Taylor says "Dodge, run your soil test. Got your sensors? Geiger counter?" in the background is the life raft used when they escaped the ship. The raft is resting on some rocks that are bright colored. In the next shot, in a shot of Landon the rocks the lift raft is resting on are all dark colored. The raft has also moved closer to the water.
Continuity mistake: When Taylor ties Doctor Zaius up to the log, shots from behind Zaius show the rope at the top of the log just above Zaius' head to be wrapped around the log only twice. Shots from in front of Zaius show the rope to be wrapped tightly a dozen times around the log.
Continuity mistake: When Taylor is trying to describe where he came from to Zira and Cornelius, he has Cornelius hold up a map. Cornelius holds the left side and Taylor holds up the right. As Zira says "You fell into the water here?", the map is slanted to the side. In the next shot, Taylor suddenly isn't holding the right side of the map and the map is more levelled out.
Continuity mistake: When Taylor and Nova approach the Statue of Liberty, there is a slow panning shot looking down on them from behind the statue's crown. All of the spikes on the crown are completely straight when seen from this angle. When the camera angle changes and we're looking up at the statue, there is a spike on the left side of the crown bent outward. The bend starts a little more than half-way up the spike; it would have been visible in the shot from behind.