Continuity mistake: In the second fight with Clubber Lang, just after Apollo Creed and crew scuffle with Clubber's corner, and just after Rocky and Apollo say, "I thought you said to be cool." "That *was* cool!", Rocky takes off his robe. As he takes it off, notice his towel is around his neck, covering his chest. It then pans wide to get an overhead view of the ring - Rocky's towel is missing. The very next shot shows Rocky continuing to take his robe off and magically, the towel re-appears. (01:19:40)
Continuity mistake: When Rocky is knocked out during the first fight with Clubber, he falls to the canvas in slow motion. From one angle he has both arms hanging down and his face is about to hit the canvas, but from another angle his arms are bent, so that he won't hit his head as much when he hits the canvas.
Continuity mistake: At the beginning of the film when the audience sees some previews of Clubber's continuous victories, look close at some of the shots when you see Clubber swinging, then that punch landing on the other boxers' faces. In at least one instance, Clubber swings with a red glove, but the connecting punch shows a black glove.
Continuity mistake: When Rocky and Apollo are racing on the beach for the first time, Rocky's hair is dry and blowing. When they show the close-up on him when he's remembering, his hair is very wet and quite a bit shorter and styled a little differently. When they show him far away again, his hair is dry and blowing again.
Continuity mistake: In Rocky's last sparring match before his first fight with Clubber, there are some musicians playing who Mick tells to shut up. The two that you can see behind Mick don't have instruments in the first shot, they do in the next two shots, then not only do they not have insturments again, the two guys have swapped spots.