Continuity mistake: When Apollo is getting ready to fight the Russian boxer, he comes out with white boxing gloves on. Sometime during the announcement of the fighters, the camera shows Rocky and Apollo standing in Apollo's corner. Apollo is jumping up and down while pointing with an ungloved and untaped hand, He is saying "I want you". The next time they show Apollo, he has his gloves on again. (00:26:55)
Continuity mistake: When Cornelia leaves some food and a can of soda out for Joe, the label says "Coke." In the next shot, when Joe goes to get the meal, the label on the can is "Coca-Cola."