There are many references to other media from Duggee's hat in the "The Leaf Badge" resembling Ash Ketchum's hat from the Pokémon cartoon, to Duggee resembling Steve Zizzou in "The Submarine Badge".
In The Glasses Badge, the animation briefly switches to live action and we learn that Duggee is a Chocolate Labrador.
In The Future Badge, Tag wears an outfit just like the one Marty McFly wears in Back to the Future Part 2.
Happy's coat is a copy of the young voice actor who provides his voice.
The music in the montage from "The Detective Badge" resembles the theme tune from the classic cop show "Cagney and Lacey".