In place of the usual "Created by: Michael Schur", the title cards say the show was created by "A Bunch of Dingdongs", "Some Fat Dinks", "A Crew of Idiots", "Your Mom", "One Dingus, Another Dingus and An Even Bigger Dingus", and "Your Mom (She Came Back and Did Another One)".
"Just pick something, or I swear to Bieber, I will drag Julia Child out of the Papa John's kitchen we locked her in, and I will have her cook you all a FLAWLESS! ROASTED! CHICKEN!"
Other
During production of the first season, only Kristen Bell and Ted Danson knew about the twist from the beginning. Kristen recorded a video of the remaining cast members being told about the season 1 reveal. Their reactions are face-holding shock from Jameela, surprised giggling and hiding behind clothing from D'arcy, a giant "Oooooooh!" from Will, and Manny just... flailing and twitching as he tries to process everything.
Doubly funny when, in the accompanying podcast, D'arcy, Jameela and Will all admit to being worried that the meeting was to tell them all they were being fired...whereas Manny thought they might be being 'promoted' (given more prominent roles due to Danson & Bell leaving the show).
Season 1's gag reel is hosted in-character by Trevor with series appropriate meta-ness (negative points for hosting a party about making a TV show, for instance) as well as the gags and bloopers themselves. Standout moments include:
The different improvisations Jacinto and Carden did; specifically, when Jason tells Michael what his vanity plate says, how he died ("stingray jousting accident" and "escaped zoo animal rampaging through a mini-golf course" are both present), and when Janet misidentifies a basketball (one standout: "Look, Michael, a witch... Burn her.").
The Running Gag in the DVD Commentaries of Drew Goddard having seemingly watched everything but Michael Schur's previous work (i.e., Goddard claims in the commentary for "Mindy St. Clair" that he's watched Jameela Jamil's previous work as a host for British television... but still hasn't gotten around to watching Parks and Recreation despite that series having been also filmed in Great Britain for a time). Schur's audibly increasing frustration only makes it funnier.
According to Megan Amram, Drew Goddard's contact picture on her phone is the chowder fountain he helped design for "Dance Dance Resolution".
The official YouTube channel livestreamed and uploaded a five-hour video of what Janet does in her void. A good 90% of that video comprises Janet just happily standing there in silence (with the occasional change in arm position and camera cut), waiting for someone to ask for her assistance. Whenever she is needed, she bings out until she's done. Which leads to the other 10% of the video—an empty, unoccupied white void.
In this interview, D'Arcy Carden talks about the preparations for her sixfold role in "Janet(s)", including a complete run-through with the respective actors that was filmed to be a reference for her to portray each character correctly. D'Arcy started listening to it in every single moment prior to filming, including while driving. Once she saw William Jackson Harper walking down the street, so she pulled over, rolled down the car window and blasted his own voice back to him. He reacted by telling her she had completely gone crazy!
The season 3 gag reel is hosted by Shawn, who's all too happy to remind the viewers where they'll go after they die.
When juggling the Earth-destroying detonator during the filming of "You've Changed, Man", Manny Jacinto accidentally lets it fall. The cast reactions have to be seen: Kristen walks around in stunned silence, Will and Ted scream and run, D'Arcy bounces from wall to wall, Jameela straight up faints, Marc Evan moves in slo-mo and Maya starts scream-laughing like a banshee before chanting "I saw it coming!".
Chidi’s full Kierkegaard rap was released on the official YouTube channel. And it is amazing.
In one of the promos for Season 3, Kristen Bell admits that Michael Schur told her how he wanted Season 3 (and the show itself) to end, but she can't remember what he said. She then muses that Michael wiped her memory.