The Pedro Almodóvar film All About My Mother (or Todo Sobre Mi Madre) revolves around the play in a few ways. To start with, the main character reveals she was in a school production of it as a child and takes her son to see a production of it, which sets off a short chain of events that result in his death. When she goes back to Madrid, she befriends some of the cast from the play that she saw beforehand and ends up filling in for a cast member at one point.
Live Action TV
The Big Bang Theory: Penny attends acting classes, and she performs as Blanche in their school production. This episode proves that she has some genuine talent as an actress and that she is not absolutely hopeless.
There is a musical production of Streetcar Named Desire in Springfield, with Marge playing Blanche and Ned Flanders playing Stanley. Of course, they spoofed the Say My Name scene for all its worth: "STTTELLLLAAA! Can you hear me YELLLLAAAHHH?!"