A poster, "HE'S GOT ATTI-CUBE," which has a COOLCUBE logo at the top that is a cube made of C's, a parody of the Nintendo GameCube whose cube is made of G's. The running cube on the poster also resembles a Rubik's Cube and 7-Up's old mascot, Cool Spot.
Stan saying "I'm gonna get that badger," is a reference to the famous, recurring line said by Elmer Fudd about Bugs Bunny: "I'm gonna get that wabbit (rabbit)."
The fact that Giffany killed her creators after becoming sentient is a nod to GLaDOS from the Portal series. Giffany's animation depicting a bunch of stick figures at computers greatly resembles similar animations played in Portal 2.
On Giffany's screen, the binary code translates to "SPACEJAMTWO." This is a reference to the film Space Jam and how it may be getting a sequel sometime soon.
When Soos mentioned that Giffany's father is the "octopus man," this is the reference to the tentacle Hentai.
The cryptogram at the end slide is a parody of the theme song of the DiC/CWi dub of the anime Sailor Moon. "WINNING HEARTS BY DAYLIGHT! / POSSESSING ROBOTS BY MOONLIGHT! / HER EMOTIONAL BAGGAGE IS A REAL FRIGHT! / SHE HAS THE ONE NAME GIFFANY." Similarly, the first four lines of the DiC/CWi's Sailor Moon theme song are "Fighting evil by moonlight / Winning love by daylight / Never running from a real fight! (or 'With her Sailor Scouts to help fight' in a later verse) / She is the one named Sailor Moon!"
In the scene where Dipper and Pacifica are hiding from the Lumberjack ghost, a painting is seen on the wall depicting a duck hunt. The way in which it is presented is an allusion to Nintendo'sDuck Hunt from 1984.
In the scene where the lumberjack ghost is about to grab Pacifica from behind, the curtain draped over the painting is a reference to a similar scene in A Nightmare on Elm Street.
McGucket's house is virtually identical to Steve Jobs' house.
There is a poster in McGucket's old home, which shows a colorful, bitten-off strawberry similar to the Apple logo, and the words "Ponder alternatively," which is a play on Apple's slogan "Think differently."
The title and the game in this episode is a parody of the popular role-playing game Dungeons & Dragons.
Like D&D, Dungeons, Dungeons, and More Dungeons use an assortment of polyhedron dice.
The 38-sided die is based on the 20-sided icosahedron die used in Dungeons & Dragons to resolve most rolls. There are no 38-sided die used in any real life RPGs; the closest is a 30-sided die, but this an unusually rare and impractical type of die.
Stan describes Duck-tective as: "A TV show that has big mystery elements and jokes that go over kid's head's" which is ironically what Gravity Falls is.
When the Pines family along with Soos and Grenda show disappointment for the Duck-tective season finale's plot twist. Soos mentions predicting it a year ago, which is a reference to how fans of the series predicted that Stan had a twin brother, which was later confirmed in "Not What He Seems."
The fantasy names posted up on the boards in the living room by Dipper and Ford are all parodies of names from "The Flight of Dragons," an animated movie adaptation of Gordon R. Dickson's book "The Dragon and the George." (Jason Ritter's father, John Ritter, was the voice the protagonist, Peter Dickenson, in the movie.)
Gorbasch -- there's a human/dragon character named Gorbash in both the book and movie.
Smerghol -- Smrgol, another dragon from the movie adaptation.
Omhadawn -- the evil wizard Ommadon, from the movie adaptation.
Stan's campaign slogan "Yes We Stan" parodies Barack Obama's 2008 tag "Yes We Can."
Stan's "One does not simply" meme is a reference to the popular internet meme of the same name, both of which are based on a quote from the first Lord of The Rings movie, in which Boromir says, "One does not simply walk into Mordor."
Stan walking down Main Street is similar to the "Staying Alive" scene from the film Saturday Night Fever.
The monitor worn by Bud Gleeful is based off of Krang from Teenage Mutant Ninja Turtles.
The poster in Gideon's cell of a picture of a cat hanging onto a branch that reads "HOLD ON TO THAT BRANCH OR DIE, CAT!" is a reference to a well-known poster of a cat hanging from a branch that reads "HANG IN THERE."