Scooby-Doo and Scrappy-Doo

The Scarab Lives! - S1-E1

Plot hole: There is a "scarab alarm" when the blue scarab arrives, Shaggy even comments on hearing this. The problem is, The Blue Scarab is a comic book, so the villain and Shaggy wouldn't know what the Scarab alarm sounded like.

Dan Moat

Et Tu, Scoob? - S2-E25

Continuity mistake: When Scooby and Shaggy are at the "Hotus Dogus" stand in the Coliseum, you can see that Scooby has two flags in his left hand, but after a quick close-up of Scooby, we return to him and his flags have disappeared.

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