The names that Blanche mentions for her sorority sisters "Scarlet" and "Melanie" are the names of the main female characters in Gone with the Wind.
Sophia implies that Blanche's collage for the plastic surgeon looks like Gavin MacLeod. MacLeod and Betty White starred together on The Mary Tyler Moore Show.
Many people think that the plastic surgeon's mention of NBC's Thursday night lineup is an inside joke about when The Golden Girls was on in Spring 1987, but the show actually aired Saturdays at 9pm EST for the first six seasons. The perceived joke wouldn't even make sense nowadays since ABC, according to the Hulu streaming intro to The Golden Girls, bought the rights to the show sometime after the series finale.