Continuity mistake: After the mystery is solved, the gang are driving away in the Mystery Machine. Shaggy and Scooby are in the back marveling at their wax dummies. Velma, Daphne, and Fred are in the front seat and can look back at them. But when it shows an angle from in front of them, the inside of the van behind Fred, Daphne and Velma can't be seen, only a solid gray wall where you should see Scooby, Shaggy, and their dummies, and even the back doors of the van.
Continuity mistake: Fred begins telling the gang his plan for trapping the Wax Phantom. They are standing at a window with Fred on the right, Daphne in the middle, and Velma on the left with Shaggy behind them. It cuts to a view from behind, and suddenly Daphne and Velma have switched spots, and Shaggy is off to the side.
Continuity mistake: In Mr. Grisby's house, Shaggy says "what a place to live," and Mr. Grisby is shown to be on the left side of him, Scooby and Velma with the crystal ball on their left. It cuts to a different angle as Velma says "it's a nice place" and Mr. Grisby is suddenly on the same side as the crystal ball with his hand on it.
Continuity mistake: Fred is explaining his plan to check out the wax museum and Daphne is standing beside him. In the far shot she is facing him with her hand on her hip. It cuts to a close up of Fred and suddenly she is facing the same direction as him and has her arm down at her side.
Continuity mistake: Daphne is wearing pink tights at the start of the episode, but when the gang discover that the safe was robbed after freeing Johnny Sands, look at Daphne and you can see her tights are missing. They reappear when we see her with the gang a little later on.