Superhero RPF is a fanfic about fanficers so it has a lot of fanfics in it. Most just referenced by their title and summaries, except For Asgardia!, by a guy going by the username Sassgardian, from which there are excerpts all around the fic. It get's him accused with Draco In Leather Pantsing for his heroic interpretation of Loki, and when his identity comes out, he is in fact Loki, with writing Self-Insert Fic.
"You wanna plop down and watch another episode with me, Misato? Shinji and I have been watching it lately. It's like someone heard about NERV, took a lot of drugs, and then tried to make it a comedy-drama-angst-romance with an ensemble cast of traumatized lunatics. It's a cheesy giant robot show, but a lot of fun. Everyone in it is pretty hot, too. Especially that Akram guy. Yow."
"They've got Gekiganger X down at the movie theatre today."
The Ikaris: The "Super Gendo Super Show", created by the PR department to make people more aware about Commander Ikari. It is like Evangelion on crack with a healthy helping of Super Robot Genre and tokusatsu tropes. They are making lunchboxes, too.
Futari wa Hearty Pure. The Cures (and also most people at their school) are big fans of the show, and Lapinyuu becomes part of the cast, playing a Shiny Luminous parody.
The two shows that helped Chloe and Chiara's father Theodore become a trampoline fetishist, Bounce and Thud, also count.
Rosalina loves the show "Comet Academy", which comes on once every 86 years. Peach and Daisy find it utterly boring.
Rosalina: 12 Lumas are sent on the Academy Comet, which is the host of the Comet Academy! During the 86 years it takes for the comet to come back, the Lumas are training by eating the most Star Bits they can, so once in competition, they can transform into the most formidable things!
Examples of type 3 (the show is a plot point)
In Equestria: A History Revealed, the Lemony Narrator writing the fic-essay decides to go out drinking and just copies a large block of test from a book on a soldier's recounting of a significant battle in the history of the Equestrian Civil War into the fic. Notable in that the copied text proves to be vastly different in tone than the rest of the tone of the fic, probably due to its In-Universe copied nature, and is even written in a more high quality fashion than the rest of the essay-fic.