Continuity mistake: When Ann meets Kong on NYC street, the camera flashes back and forth between them. When it shows Kong, he is surrounded by snow, but when it shows Ann, the street doesn't have so much as a snowflake.
Continuity mistake: When Anne comes out of the lake after fighting with the T-Rexes her hair is all wet, but after Kong has defeated the last Rex and puts her on his shoulder to start running, her hair is totally dry. Same happens after she and Jack crash in the river after letting go of the bat. Next shot you see them running towards the temple and her hair is, once again, completely dry.
Continuity mistake: When Bruce Baxter tries to wiggle his way out of having to get closer to the brontos so Carl Denham can get his scene on film ("Shouldn't there be a stand-in for this?"), the gun he holds that can be seen pointing up over his left shoulder keeps appearing and disappearing between shots from the front and back.
Continuity mistake: When Ann is tied up as a sacrifice, waiting for Kong to appear, the position of the skull necklace round her neck differs between the close-ups and wideshot.
Continuity mistake: When Kong holds Ann in his hand, as he sits near the top of the Empire State Building, the way she is positioned in his palm changes repeatedly, depending on the various camera angles.
Continuity mistake: In the scene where Ann Darrow is brought to the Venture, there is a wide shot where she is walking and observing the ship. On one of the ramps (the closer one to her), there is a man who is carrying something up the ramp. In the next shot, if you look at the ramp he was on, he has disappeared.
Continuity mistake: When Ann is with Kong on the cliff, her robe and belt repeatedly change position in consecutive shots, before, during and after she dances, somersaults, etc, to amuse Kong.
Continuity mistake: When Carl films in the valley, Bruce has multiple lines of rope round his shoulder which change position in the following consecutive shots.
Continuity mistake: Note the chrome centers on the wire wheels of the taxi that Jack commandeers towards the end of the film. Initially the left rear one is missing, but it magically reappears later on.
Continuity mistake: Soon after Kong grabs Ann for the first time and is playing with her the wide shots show him violently shaking her around, enough to snap her neck or at least render her unconscious, but the close-up shots during the shaking show her being much more gently rocked from side to side.
Continuity mistake: As Jack Driscoll flees Kong in a yellow cab through a narrow alley, the view through the (missing) windshield shows a pedestrian in light-color overcoat crossing leisurely at the other end. When the car eventually emerges in the immediate next shot viewed from the sidewalk, that particular pedestrian simply disappears.
Continuity mistake: At the diner, Carl speaks with Ann while she eats, and things on the table change position depending on camera angle.
Continuity mistake: When the crewman receives the message aboard the Venture, he jots it down on a pad of paper. There is nothing under the pad in one shot, but in the previous and following shots there are more papers under the pad.
Continuity mistake: As Ann tries to escape from the T-Rex, at one point her robe acquires a rather large black and muddy stain at her backside on her left, yet in the very next shot that large black stain is gone.
Continuity mistake: When Carl offers the Nestles chocolate to the native girl, the wrapping differs between shots as he holds it out to her.
Continuity mistake: On the cliff where Ann is entertaining King Kong by dancing, juggling, doing flips, etc. her face goes from dirty, to clean, to dirty, and back to clean between shots.
Continuity mistake: At the end of the chase through the streets of NYC, Kong stops the yellow cab with a "karate chop" to the front-end, which sends the car tumbling high into the air through a complete somersault before it lands back down. Actually, Kong's hand is still half way down and nowhere near touching any portion of the vehicle when its rear-end gets lifted.
Continuity mistake: When Jack is rescuing Ann she has two cuts above her right eyebrow, the smaller cut changes positions and disappears/reappears in different shots.
Continuity mistake: When Kong falls through a portion of the circular observation deck at the top of the skyscraper, he crushes the metal siding as well as one of the metal girders, making a large hole. When he puts Ann inside through the hole, the metal girders are now all undamaged. You can tell that this is the same hole because the camera moves around the entire building in the next shot and there are no other large holes.
Continuity mistake: Just before the wall is spotted, Jimmy is in the open crow's nest reading "Heart of Darkness". He puts the book down and stands up. In the next few shots, the book has completely disappeared. Then the ship takes a pounding for 3 or 4 minutes. But a few minutes later there's Jimmy, once again reading the same book. (00:46:05 - 00:54:15)
Chosen answer: The original creator of King Kong, Merin C. Cooper, wrote a novel adaption of the movie in which it was explained that the gates were built by a earlier culture of islanders that were friends with the "Kong" race. The "Kongs" helped the original islanders to build their village and the wall (thus meaning the gate had to be big enough for the giant gorillas to walk through). By the time of the events of the movie, the original islanders have "died out" and their old village had been taken over by a race of more primitive natives who became enemies with the Kongs, and were trying to use the gates for safety.