Continuity mistake: In the scene where the shipwreck survivors are being rescued by Captain Nemo's divers, Nanette Newman is barefoot as she is carried into the submarine. In the shot immediately following, she is being carried into the sub by a diver and she is wearing full length black boots.
Plot hole: At the very beginning, as the passenger ship is foundering in a powerful storm, the little boy places his kitten in a box and tucks the box inside his shirt just moments before he is cast into the churning sea. Sinking into the depths, the boy and other passengers are presently rescued by Captain Nemo's team of divers, who supply the drowning passengers with oxygen until they board the submarine Nautilus. Once aboard, the little boy opens his hidden box to reveal a wet but very much alive kitten that could not possibly have survived submersion for that length of time in a box that was not waterproof.