As Kong carries Ann during the fight with V-Rexes, her legs sometimes face one direction, and her torso and head are in the opposite direction. Ann even changes position in Kong's hand and feet during the battle, sometimes in a single shot or between shots.
As the ship is leaving its dock in New York the captain orders "dead slow ahead both". This indicates that the ship had two engines and two screws; however, every shot showing the stern of the ship has a propeller wash coming only from the center of the ship, showing that it has just a single screw.
Ann's clothing changes throughout the period on the island when Kong has her; a narrow camisole-strap, a wide flat white shoulder-strap, or the untorn collar/shoulder fabric of her dress are randomly present on her shoulder at various times, and the condition of her clothing changes in how tattered and/or removed it is between shots.
When Ann slides down a muddy slope, her back is covered with very dark mud. When she gets up, her back is clean.
When the V-rex chases Ann through the woods, she slips and slides down a muddy hill, getting mud all over her back, arms, and legs. She has very little dirt anywhere on her body when she gets up. Then, when she makes it out of the woods, she is clean, but her whole outfit is a shade darker.
When Jack Driscoll goes up in the Empire State Building elevator, he watches an old-fashioned dial-and-arrow indicator as it sweeps upward through the floor numbers, from "1" to "101". However, the building's structure does not allow for direct elevators from street level to the very top. The metallic tower topping the limestone façade above the 86th floor observation deck is served by only one small elevator shaft and one narrow staircase. A change of elevator is necessary on or about the 86th floor for anyone going to the very top. Also, the top floor is officially "102", not "101".
Soldiers are wearing the M1912 uniform with the high choker collar. This was replaced in 1926 with an open collar coat.
In the long shots of the ship moving, the noise of a steam locomotive has been dubbed in. This sound is incorrect for a steamship, as it would have a closed-circuit steam system, and therefore no audible chuff.
Surabaya, an Indonesian town, is shown under the name of S.S. Venture. Some people have noted that it was still written as "Soerabaja" in 1933, but the spelling "Surabaya" was, in fact, already accepted in English at that time.
Peggy Lee did not begin her recording career until the early 1940s. Her recording of "Bye Bye Blackbird," used in a nightclub scene, dates from 1955, more than twenty years after the time of the film.
In the world of the film, it could just be any singer on the radio performing Bye Bye Blackbird, which is a song that existed at the time.
Although there's no official explanation given for the feat of transporting Kong from the ship and into the Broadway theater without anyone noticing, it is very likely that the process took a very long time, hence the director's decision not to show the audience.
Englehorn tells Hayes to "Check our position. Use the stars." In 1933 that was the only way for a ship's position to be checked with no land in sight. Telling Hayes to use the stars was not needed.
Just because it was not needed to say that, Englehorn was still issuing commands to a crew member so it's not a goof for him to say that.
Undoubtedly to save costs in computer animation, nearly all the cars in the New York City street scenes are Model A Fords.
During the time of the film, most cars driven were Model A Fords due to their popularity and affordability.
At the very beginning of the film, during Al Jolson's song, the camera looks down on a bridge with lots of cars passing it. On the right side of screen, an animated plume of smoke from a chimney is frozen.
During his New York rampage, Kong slams his fists full force on the roof of a trolley car and does absolutely no damage.
Near the end of the film, when people are running in terror out of the theater and into Times Square, you can see that the people are not leaving any footprints in the snow. The snow must have been digitally added to the scene.
When leaving New York, a 360-degree shot is taken of the boat by night. However, the shape of the plume of smoke coming from the chimney does not change with the camera's point of view.
When Ann is juggling for Kong on the cliff edge she starts juggling at one point. If you look closely, you can see that she is simply moving her hands, and the rocks have been added digitally. This is most obvious when she leans right back, and the rocks don't match her hand movements at all.
Denham asks Ann if she wears a size 4. Commercial standards for clothing sizes were formally accepted in 1957, and they started at size 8.
After Denham drops his camera and the film falls out, it is clearly a modern tri-pack color negative and not a 1930s vintage black-and-white negative. You can tell because of the orange/brown color of the material.
When Driscoll enters the elevator at the Empire State Building during the film's climax, he reaches over to select a floor, revealing that the elevator features self-service. Elevator operators were still employed in the Empire State Building during the early 1930s.
Floodlighting of the upper floors and tower of the Empire State Building began with the 1964 World's Fair. No such lighting existed in the night sky of the 1930s.
Jimmy is seen wearing a pair of boots with Vibram rubber soles. This type of rubber sole was not invented and patented until 1937 and was designed for mountain climbers.
In the chasm scene, when Lumpy is fighting off worm-like creatures, we can see that his sword is made of rubber.
(at around 2h 20 mins) In New York, Carl Denham states that 17 crew members died on Skull Island. The actual death count is 27.
Before Kong picks up Hayes, he fires a shot from his pistol; then he is seen cocking his weapon again while he is in Kong's hands. He was shooting a semi-automatic pistol, so there was no need to cock the gun again.