Pleasant Goat and Big Big Wolf: Joys of Seasons episode 15 is called "Toy Story". The episode itself does not resemble the film apart from both being about Living Toys, but given that Pleasant Goat has named several of its episodes after well-known films, they most likely named the episode "Toy Story" as a shout-out to the film.
In the Yes, Dear episode, "Are We There Yet?", the Warner and Hughes families go on vacation to the Grand Canyon in a run-down RV that the Hughes family rents. At one point, Kim mentions that Dominic, Logan, and Sammy planned to watch Toy Story, but decided to watch A Bug's Life instead. Not the movie, but an actual bug's life.
Tim's in an argument with someone else (forget who) and it turns childish, with the other side claiming something "times infinity". Tim, naturally, tries to one-up him with "times infinity and beyond!"
An outtake scene had Tim playing with his character's nieces, where he pulls out a Buzz Lightyear figure and compared his own voice to the toy's sound chip.
Morello: Hey, did you ever see that movie? The one where there's the cowboy and he's like the king of the castle and then, this astronaut shows up, and he tries to take over and so the cowboy attempts to murder him. But instead, the astronaut is taken hostage by like, this evil psychopath and the cowboy has to rescue him and then they end up becoming really good friends.
One episode provides an alternate ending to Toy Story 3. In the prologue, Lotso undergoes a HeelFace Turn when he realizes that the only reason why he got replaced is because Daisy loved him so much. Also in the episode, after playing with Bonnie, Andy ultimately changes his mind, keeps his toys for himself, and takes them to college, upsetting Bonnie. On his way to college, Woody reveals to Andy that he and the other toys have been alive the entire time, shocking Andy and causing him to crash his car.
In The Stinger for "How Ant-Man Should Have Ended", Ant-Man meets the toys from Toy Story, who mistake him for another spaceman toy until he grows giant.
In his review of Small Soldiers, the Critic compares several scenes from the film to similar ones from Toy Story, such as the toys thinking they're real, one of them being chased by a dog while holding onto a moving vehicle, one of them watching ironic television, and one of them being launched by a rocket.
In the early videos, a puppet of Hamm that was given out at Burger King was used for the character of Mr. Pig.
Woody is a recurring character, wherein he spends a lot of his time hunting Shrimpos and drinking beer.
In "Jeffy's Birthday!", Mario takes Jeffy to Chuck E. Cheese's in an attempt to pass it off as Disney World. At one point, Brooklyn T. Guy dresses up like Buzz Lightyear.
In "Chef Pee Pee's Bucket List", when Dr. Brooklyn T. Guy gives Chef Pee Pee a blood test, Brooklyn tells Chef Pee Pee that he's going to give his blood to Buzz Lightyear, so he can take it up into space to the intergalactic blood tester.
In "Jeffy's Foster Home!", when Mario gets 20 happy meals for Jeffy (and one for Officer Brooklyn T. Guy), every single happy meal has the toy of Forky.
In the prologue to the Arthur episode, "D.W.'s Time Trouble", Arthur is sent to take D.W. to the movie theater to see Doll Story 2. Arthur ends up seeing Slappy Blackhead's Way Cool Journey Through Time instead, which gets him in trouble with his parents.
Duckman: In "Where No Duckman Has Gone Before", a spoof of Star Trek, Captain Duckman tries to say "To infinity and beyond!" before Cornfed tells him "Wrong franchise, sir."
In "Chris Cross". Stewie mentions that Buzz Lightyear failed to show up to his Anne Murray "concert", and the scene cuts to Buzz trying to hit on women at a bar.
In "The Finer Strings", Stewie responds to Brian's statement that he and Carter are friends by saying "That's what Woody thought about Buzz Lightyear", which leads to a cutaway where Woody catches Buzz making out with Bo Peep.
In "Throw It Away", Peter tries to catch if Woody and Buzz Lightyear will come alive when his back is turned. When Lois calls up to him, the toys manage to escape. Later on, Woody and Buzz are hiding on the ceiling.
House of Mouse: In "House Ghosts", Donald dresses up as Woody, Buzz and an LGM for Halloween.
A sketch from "Kramer vs. Showgirls" features the toys preparing for Andy's spring break. Andy ends up "lobotomizing" Buzz by using him as a bong, and Woody ends up putting him to sleep.
A sketch from "Butchered in Burbank" features Buzz shouting "To infinity and beyond!" and flying endlessly through space.
Title card: Buzz Lightyear didn't know that it is, by definition, impossible to reach infinity. He kept flying forever and was never seen again.
A sketch from "Rebel Appliance" features the toys returning home from their latest adventure, only to find that Andy bought duplicates of them off of eBay in the meantime. Andy ends up deciding to sell the originals.
In "The Color Yellow", Ralph does a presentation for Black History Month where he says "Martin Luther King had a dream. Dreams are where Elmo and Toy Story had a party, and I went there."
In "Angry Dad: The Movie", Bart meets people from Mixar at the Oscars, and don't take kindly to the competition; Randy Newman proceeds to sing a verse of "You've Got an Enemy" and Bart is confronted by various costumed characters, including Mr. Carrot Head. Later, we see Mixar's nominated short Condiments, which is a parody of Toy Story.