The dream that Scooby Doo has when he falls asleep in the library is an homage to the TV show, Twin Peaks.
The parents' character design and vehicle of the family at the beginning episode robbed by the Dandy Highwayman is based upon the Clark and Ellen Griswold in National Lampoon's Vacation.
The character of the Dandy Highway and the title of the episode, as well as a few lines of dialog, come from the 1981 Adam Ant song Stand And Deliver.