The TV in the Super Duper Mart is a Radiation King, a brand originally mentioned on The Simpsons
The exterior shots of the Super Duper Mart were filmed in Staten Island, New York at a closed down Shop Rite. Interestingly enough, Super Duper Mart and Shop Rite share the same color scheme (red and yellow) with the primary colors reversed. The Shop Rite was knocked down shortly after filming.
Roger calls Lucy a "smooth skin" which is what Ghouls call humans.
Matt Berry, uses a variation of his line from "Garth Marenghi's Darkplace". When Snip Snip meets Lucy he says "You seem to be a woman" and in the first episode of Darkplace his character, Dr. Sanchez, says "You're a woman".