Whenever I come across the use of zines in a TV show or movie or book, I beam. Unfortunately they're almost never actually called zines.
This is meant as an ongoing thread for you to bump any time you come across something.
Gilmore Girls (TV series)
Jess starts his own publishing group and starts making what are essentially poetry and litzines but I think they're just referred to as chapbooks.
The Apprentice Of Duddy Kravitz by Mordecai Richler (novel)
Duddy's friend Virgil starts a zine about epilepsy but it's simply described as being a publication, never a zine.