The announcer at the "Death Match" game is Arnold Schwarzenegger, with whom Danny DeVito co-starred in Twins, Junior, and Last Action Hero.
When Satan and Chrissie arrive at Wibby Turkle, one of the beings they pass on the slidewalk is a faun resembling Philoctetes, whom Danny DeVito voiced in Disney's Hercules.
The announcer at the "Death Match" game is Arnold Schwarzenegger, and the format of the tournament (kill or be killed) is stylistically similar to The Running Man, in which Arnold starred.