Chris uses Peter’s blubber to copy and stretch an image in the same manner as Silly Putty from the advice-giving comic strip character Mary Worth
Radioactive materials gave many superheroes their abilities e.g. Daredevil.
Stewie’s enlarged, veinous head, which throbs when he is using his powers, was seemingly inspired by the Talosians from the Star Trek episode “The Cage”, who had a similar appearance and mental powers.
Lois’ speech about acting responsibly is similar to the quote from Spider-Man, “With great power comes great responsibility.”
Many of the younger versions of the show’s adult characters are parodies of the characters from Hal Roach’s Our Gang comedies of the 1930s, later syndicated to television under the title The Little Rascals. Quagmire took the place of Alfalfa, Cleveland of Buckwheat, Brian of Pete, and Peter Griffin of Spanky. The scene in which the children stand on each other’s shoulders to portray an adult is a famous bit from the series. Quagmire and Peter’s gag of running through the glass door and leaving silhouette cut-outs of themselves in their wake, is also derived directly from the series.
Goldie Hawn pops out of the armor and shouts, “Sock it to me!," the catch phrase from the late 1960s-early 1970s sketch comedy show Rowan and Martin’s Laugh-In.