As the Rebels gather outside Bright Moon and Queen Angella makes her demands, it is night time, but all following scenes are set in daylight. This is corrected in He-Man and She-Ra: The Secret of the Sword (1985).
Adora amuses the parents with an anecdote about one of Madame Razz's spells misfiring, as if she's been with the Great Rebellion for some time. But according to the previous chapter, she joined the Rebellion, went to free Queen Angella with He-Man (in the guise of She-Ra) and then immediately departed for Eternia to meet her parents, leaving no time for her to witness any misadventures from Madame Razz.
Beast Man carries Adora to the dungeon, his right arm supporting her legs and left holding her body. However, when he enters the dungeon and places Adora down she is now being carried the opposite way (i.e. her legs being supported by the carrier's left arm and the body with the right arm).
During Adora's transformation into She-Ra with Castle Grayskull in the background, its jaw-bridge is missing. The entire transformation sequence was re-animated and the corrected version used in each episode following the five part origin story, but the incorrect version is still shown during the opening credits of all those episodes.
When Skeletor is sitting on his defeated henchmen and saying his "female He-Man" line, Trap Jaw's jaw is colored green instead of it's usual magenta.