Throughout the movie Beth is wearing and not wearing her hat moment to moment. Noticeably when the leopards attack and when the natives find the warning in the bushes.
Early in the film, when Quatermain is walking along talking to the heroine's brother, the brim of Quatermain's hat is split and flapping in the breeze. Later it's seen in one piece again.
During the encounter with the rhino, in the closeups, Quartermain is holding his rifle. In the distance shots, he is unarmed.
Also, the position of Elizabeth is not constant, in the closeups, she is pushed behind Quartermain, in the distance shots she is standing next to him.
Also, the position of Elizabeth is not constant, in the closeups, she is pushed behind Quartermain, in the distance shots she is standing next to him.
During the stampede scene, at first Quatarmain is firing his rifle to attempt to turn the terrified animals. When he exhausts the rifle's ammunition, he puts it down and pulls out his revolver. The next couple of shots, he's holding the rifle again. Then, he again has the revolver; after that, the shots switch between him holding each weapon several times.
When Beth falls in the river her right sleeve is torn at the shoulder. A few moments later her left sleeve has the (smaller) tear. Later this left tear is repaired, but the right shows no sign of damage
The elephant that charges the hunter and guide is an African elephant. The one that picks the guide up and tosses him over its shoulder is a trained Indian elephant. African elephants are too aggressive to be trained for such stunts.
Some of the fabric worn by the Watutsi are imported prints. With the desert serving to isolate the tribe from others it is unlikely that they would have access to such fabrics.
Quatermain calls an aardvark an 'anteater'. While they do eat ants, aardvarks are quite different and almost entirely nocturnal.
Van Brun/Smith intimates to Quartermain that the Kaluana ate the one-eyed guide because they were short of meat. This would not be likely for several reasons: they live in a verdant African jungle with an abundance of game, religious restrictions, or because the guide was not an enemy of the tribe. Van Brun was probably lying to cover up what really happened, with a shocking suggestion that would discourage further questioning.
When escaping the cave they use their torches to find the incoming air and leave by that route. However, during their escape they have to submerge to find the outlet of the underground river. This would act as an air trap, much like the trap in sink drains, and prevent any air flow coming into the cave. It is possible, however, that there is a smaller, impassable path for air to enter/exit that follows the same general route of the river as it leaves the cave.
In the fight between Umbopa and Twala for kingship of the Watusi tribe, the spear thrown by Umbopa that kills Twala is clearly situated behind Twala's chest as he lays dead.
The black and white long-haired monkeys in the trees are colobus monkeys, whose skins are worn as mantles by tribal chiefs. and important individuals. When Quartermain meets Umbopa he describes him as being haughty and too well dressed. The colobus skin is the giveaway. It may be noted that an advisor to the chief at Van Brun's village also wears a colobus skin.
When they're walking through the desert towards the mountains, Beth falls down from the heat and from exhaustion. Quatermain throws his rifle in the sand to help Beth. No good hunter would throw his rifle in the sand like that.
Quartermain's pet monkey, Lulu, is a capuchin monkey. Capuchin monkeys are New World monkeys native to Central and South America and not found in Africa where the film is set.
The rifle that Quatermain finds on top of the mountain (Curtis's rifle) is a Winchester model of 1895. Given of period of the story, 1897, such a rifle could have been in Africa by that time but it would have been highly unlikely.
At 47:33, during the stampede, when zebras run past the hiding safari members, two herding trucks and one of their headlights can clearly be seen through the dust in the rear of the shot.
Even in 1897, it seems extremely unlikely that Quartermain could have spent 15 years in central Africa and never even heard of the Watusi tribe.
Von Brun (when Allan, Elizabeth and John first meet him) states that he hasn't seen a white face in "five years", but immediately after tells them that he saw Curtis a year earlier. Further, neither of the three question this inconsistency. But given that Von Brun is a wanted murderer he may have lied to cover the fact he'd seen Curtis concerned he'd be blamed for his demise. And calling out his lie would only serve to cause Von Brun to act more dangerous and untrustworthy than he already is.