Continuity mistake: When Driscoll is hiding in the cliff cave with Kong above him, he moves from the front of the cave to the back two or three times without ever moving from the back of the cave to the front.
Continuity mistake: After Jack strangles the police officer there are 3 guys by the door - he knocks down one of the them but in the next shot there is just one man left.
Continuity mistake: Igor's face is not disfigured on New Year's eve 1933, when he looks out at the crowd. The next scene in the morgue he is disfigured.