The tape of the accident that created Mr. Freeze features close-ups and jump cuts. If the recording was automated as it appears to be, this is not possible.
When the legs of one of Mr. Freeze's thugs are frozen he is wearing shoes. Later, however, he is not wearing shoes when the ice surrounding his feet and legs thaws in a chemical bath in the Batcave. However, the chemicals and the ice might have caused them to disintegrate.
When Batman is dressed as a security guard he reaches into his Batbelt and pulls out a key card. As he reaches for the card, it appears in his hand out of nowhere.