Continuity mistake: When Bender lies on the roulette the numbers keep changing between the shots. For example when Bender's antenna lands on the number "21", the number beside it is "25". When it cuts the number "25" has suddenly changed to "4"
Continuity mistake: When Bender and Fry is hanging on to Leela while she is climbing the Watergate building, the width of the concrete on the wall is about 3 feet. When it cuts the width is reduced to no more than about 1 foot.
As the power builds up in Bender, his left eye pops out, making him a cyclops, subsequently being eaten by the Cyclops eater. After the monster dies, Bender comes out, and has two eyes in the long shot, but puts his left eye back in the close up.