When the penguins leave the elderly woman's house, the umbrellas in the umbrella stand, by the door, change positions between shots.
The holes made in the laminated floor, by the candies, around the Christmas tree, are absent in the shot when the Penguins are giving high fives.
A penguin uses binoculars rotated at a 90 degree angle, but the shot of the view through them is composed as if they were being used normally (horizontally level).
The old lady wraps Private in red ribbon, and puts a sticker on his chest. However when Private flies out of the stocking, the sticker has vanished.
The camels are shown with a Sphinx background and a menorah. However, Egypt is more closely associated with Islam. There are camels in Israel, the spiritual home of Judaism, but very few Jewish worshipers in Egypt.