Reese's Pieces, naturally, did an ad campaign based on the movie, with their own little alien described as a "little blue guy with big ears," who would show up at kids' doors requesting Reese's Pieces.
In episode 49 of Happy Heroes, there is a scene where if you look in the background, the silhouettes of a certain boy and alien flying on a bicycle can be seen passing in front of the moon.
The Simple Samosa episode "Anda Bhatija" has a scene where Samosa, Dhokla, Jalebi, and Vada are riding on a bike to escape from General Gathiya who is after their egg alien friend Yolky. They're launched into the air and make a Full Moon Silhouette resembling the similar E.T. scene.
Ted: The prologue shows a young John and Ted pretending to be Elliot and E.T. on a bike.
Men in Black: When Jack Jeebs regenerates his head, he very briefly looks like E.T. for a few frames. Also, when Jay and Kay shoot down Edgar's ship, the way he emerges from the saucer—silhouetted against bright light behind a Dilating Door—greatly resembles the last shot of E.T..
One of The Naked Gun films had a wheelchair sailing in the air in front of a gigantic moon a la Elliott's bike.
A 1982 episode of Taxi included a subplot about Jim having seen E.T. in the theater sixty-four times, and then being scandalized to hear Alex has no interest in seeing it. He gives Alex five bucks and insists he go. Later, Alex returns raving about how much he loved the movie, and there's a cute scene of him and Jim imitating E.T.'s voice.
Nickelodeon's Turkey Television had a recurring sketch starring Adam Reid as a kid secretly keeping an alien in his closet. All we ever saw of the alien was an E.T.-like hand that would reach out of the closet, with a glowing light. The skits consisted of Adam having goofy conversations with the alien.
From 2004 to 2006, Eat Bulaga! had a segment called "EB Fone Home", referencing the E.T. quote "E.T. phone home".
In his review of The Odd Life of Timothy Green, Critic remarks it's okay for the parents to take this mysterious child to the authorities, saying that they have walkie-talkies like in E.T. He then discovers that Spielberg brought back the original version with the guns and tells Timothy to run for it.
In the pilot, Roger says "And don't ask me to bring him back with that E.T. finger thing, 'cause that's a giant load of crap." when Stan accidentally kills the 19-year-old dog that he adopted for Steve.
The episode "A.T.: The Abusive Terrestrial" has Roger befriending a kid resembling of Elliot, and the whole thing becomes an abusive relationship.
Animaniacs: In "Hooked on a Ceiling", the Warners help Michelangelo paint the ceiling of the Sistine Chapel, but the artist doesn't know what to put in the final blank space. The Warners end up painting a version of The Creation of Adam in which E.T. and Elliot touch fingers, just as the Pope arrives to see it. However, he turns out to be Steven Spielberg, and he approves of it.
DuckTales (2017): In "Terror of the Terra-firmians!", Huey and a Terra-firmian slowly touch fingers upon meeting each other.
A sketch from "Adoption's an Option" takes place after E.T. gets back on his ship. It turns out he's a retarded alien named Kleborp who can only glow only one of his fingers. After he flips off a group of Jerk Jock aliens, they dump him on another planet and he gets killed by a Xenomorph.
A sketch from "Legion of Super-Gyros" has a picky E.T. smacking Elliot for leaving him Reese's Pieces instead of M&Ms (who actually passed on the film's product placement).
A Johnny Bravo episode has Johnny trying to rescue an alien from an angry mob by riding a bicycle. Johnny then asks the alien to "use your magic powers to fly us", only for the alien to say he doesn't have magic powers. They then ride off a cliff, flying past a giant full moon