It was shot in color rather than in black and white (although the Joan Jett original was shot in color initially).
It was videotaped rather than filmed.
In "I Love Rock 'n Roll", Joan Jett says "Ow!" twice for her enthusiasm. In "I Love Rocky Road", Weird Al says "Ow!" in reaction to an ice cream-induced brain freeze, the second time he says "Ow!" in reaction to a kid biting his leg.