When Oliver first meets Nancy, two women and the Artful Dodger play a card game. Dodger asks Nancy to cut the deck in half, and she splits the card into two piles. When Dodger returns them into two piles, he puts the half that was originally on top, on top again. He might have been cheating, but this could also be an error in the film.
When Oliver runs away from Mr. Sowerberry's house to London, his shoes keep changing between shots. He is shown wearing shoes both with and without laces. When he sits and has his meal under the cart in the rain, his shoes do not have laces. Immediately after that, the shoes have laces.