Parodied again in, when Agnes Skinner learns that the real Seymour Skinner was imprisoned in Vietnam and the man she has raised as her son is an impostor; her dramatic declaration that she has no son is somewhat undercut by Homer rather acerbically pointing out that she obviously has at least one son. She responds by saying "No, I have one stranger, and one fraud!"
Parodied in another episode when Patty declares that if Marge doesn't come to her gay wedding then "I have no non-identical sister!"
Played relatively straight when Abe blames Homer for dragging him away on his girlfriend's birthday and causing her death by burst ventricle broken heart.
Parodied in yet another episode when the Squeaky-Voiced Teen working at the Bowling Alley says that he can't even give a lane to his own mother on League night. Lunchlady Doris walks past and says, "I have no son!"
Played seriously with Homer's long-lost half-brother Herbert, who lets Homer design a car that will make or break his company, assuming Homer knows what The Everyman wants. Homer botches it, leading Herb to tell him rather venomously, "As far as I'm concerned, I have no brother." They patch things up in a later episode, after which Herb is never seen again.
Inverted in the episode "MoneyBART", as Bart is running the bases on his Little League game.
Homer: If he makes it, he's my son!
Played straight and then subverted in "Burns, Baby Burns" when Mr. Burns finds out he has a son, Larry. At first, Larry proves an embarrassment to Burns (who calls him a "a coarse, boorish ignoramus") and he says this Trope almost word for word. He changes his mind quickly after Larry is kidnapped (actually, Homer and Larry stage a kidnapping, hoping it will help them reconcile) saying angrily that "nobody takes what's mine, whether it's my newspaper or my good-for-nothing son!"
In "Old Yeller-Belly," Homer gets annoyed by Santa Little Helper's cowardice and tells Kent Brockman "I have no dog!" in a manner parodying this trope. This comes back to bite him in the ass later when the dog's former owner comes to take him back and uses the interview to prove that he's no longer Homer's.
In "Bart the Mother," when Bart accidentally shoots a bird and Marge finds out, what she tells him in response is pretty much this trope.
Marge:"What's the point, Bart? I punish, and I punish, and I punish, but it never sinks in. So you know what? Do what you want. You wanna play with little hoodlums, fine. Have fun killing things."
Marge also disowned Bart in "Love Is a Many-Splintered Thing" for siding with his father during an argument about women and love.
Marge gives up on Bart (again) in "Peeping Mom" when her attempts get him to confess his plans involving a bulldozer fail and he becomes too stubborn to insufferable levels.
Marge: You're in charge of yourself. Get home whenever. My parenting stops now.
In the Hanna-Barbera TV special "The Little Troll Prince", Ulvik. the King of the Trolls, disowns his son Prince Bu. once the latter professes his faith in Christ (thus committing blasphemy against the troll code) and (unwittingly) sheds his troll like appearance in front of him, and then strips him of his royal title, leaving him to the mercy of a hostile crowd. Afterwards, he's shown to be visibly upset that he lost his favorite son, and when his wife Serena fears that Bu would lead humans to their kingdom for revenge, he assures her that Bu is not a a traitor and he will not cause them any trouble. He tells her to let him go as "it's all over."
In Rocko's Modern Life, Ralph Bighead's decision to become a cartoonist results in his being disowned by his father, and he isn't particularly interested in reconciling. It requires intervention by Rocko and friends to restore the family relationship.
The title of the episode is "I Have No Son!" Ed Bighead even says it word-for-word a couple of times, while Ralph says "I have no father."
One episode of Pinky and the Brain has Brain giving this treatment to a clone who has decided that he doesn't want to take over the world — "I have no clone".
Clone High has this happen when Gandhi tells his foster father that he wants to be a trucker.
Family Guy lampshades this by having Peter gradually admit that even if Chris isn't his son, he still has Stewie and Meg.
Another episode revealed that this happened...to Death himself
Death: You know, actually, kid, I kind of fell into this gig. You know, I really wanted to be a wood nymph. But, man, the second Dad found out, he started in with the whole: "I have no son. I have no son," and Mom...Mom just stood there.
During a role-playing exercise on Drawn Together where Xandir came out of the closet to his parents (played by Toot and Captain Hero), Toot (his father, for some reason) says "My son is dead!", tears her sleeve and recites the Kaddish, reflecting the tendency of this trope to be centered on Jews.
American Dad! had one episode with Stan and Francene getting roped into a situation with their gay neighbors Greg and Terry when the latter's father comes to visit who oblivious of his son homosexuality. When Stan drunkenly reveals this, Terry's father in a rather calm manner states he has no son. Even when presented in front of a stadium full of people, Terry's father refuses take back his claim. Terry eventually say "Forget him" and gets on with his life with Greg.
In Avatar: The Last Airbender, Ozai clearly had no regard to his son Zuko. Stating he was "Lucky to be born" and even burning his face when Zuko questioned his logic during a war meeting. Zuko at first tries to get his respect for most of the series. But in the end realizes he's a Jerkass, gives an absolutely awesome example of Calling the Old Man Out, and helps the main heroes in stopping him. After that point, Zuko would gladly welcome his father's demise, but was content with Aang taking away his firebending.
In the interquel comic The Rift, Toph gets this from Lao Beifong. Apparently this was his Plan B after the "kidnap her back with mercenaries" plan fell through.
Previously, on Gargoyles: When Angela tells Demona that she is Demona's biological daughter, Demona responds with "I have no daughter!" In this case, though, it's not based on disapproval—Demona honestly did not realize her child (last seen as an egg with people she considered her enemies) was still alive. When she realizes the truth, the only thing keeping her and Angela from bonding is Demona's genocidal hatred of the human race.
In another episode, Elisa is arrested on the island of New Olympus for being human. While being escorted to her cell, an elderly minotaur calls out for the guard to have mercy on his old father. "You put your own father in prison?" "That's not my father." The audience thinks it's a generation-inversion of this, but it's almost immediately revealed that this is the shapeshifter who murdered the guard's father attempting to pull a Shapeshifter Guilt Trip.
Parodied on South Park as part of the parents' hysterical, intense reaction to the news that the boys have been smoking. Stan tries to bring Randy back to earth, but as soon as he calls him "dad," Randy shouts, "I DON'T HAVE A SON!"
Darkseid pulls this in Superman: The Animated Series after sending his son to a slave pit with his Omega beams. His exact words in response to Desaad saying that Kalibak was his son, "A technicality regarding his birth. As far as my destiny lies, I have no son." (This may or may not have been a subtle reference to Orion, another of his sons and one of his worst enemies.)
This trope is one of the main reasons Dr. Doofenshmirtz from Phineas and Ferb grew up to be a villain. The worst part was he didn't really deserve it. His parents were so ridiculously negligent, they were never around for any of his birthdays, even the day he was actually born. He was completely ignored when he failed to jump off a high dive at the city pool (which was considered a rite of passage). Heck, his father even named the family dog "Only Son"! While his mom preferred his more successful brother Roger.
In the movie of Curious George, Mr. Bloomsbury says "Ted, I am so proud of you. You're like the son I never had." His son Junior says "Father, I'm your son, remember?" to which Bloomsbury replies "Yes, but I had you."
Invoked in The Amazing World of Gumball in "The Words", when Gumball is trying to get his adopted brother Darwin to realize how all his verbal abuse is hurting people. After simple insults don't work, Gumball resorts to this trope ("You, are not my brother. You are just a pet! Who grew legs!"), which sends Darwin through a wall—literally—and reduces him to tears until Gumball, having made his point, hurriedly takes it back.
Done in the season one finale The Legend of Korra when Asami confronts her father, Hiroshi, as he's gathering his tanks for a full scale attack on benders. Hiroshi lost his wife to firebenders and feels every bender is evil. Asami however has more sense and tries to get him to see reason that he's becoming no better then his wife's murderers. However he's far too gone to realize this and states that if Asami won't aid him, then she doesn't deserve the right to be his daughter.
Superman: The Animated Series: Darkseid blatantly says this about Kalibak. "A technicality of his birth. As far as destiny is concerned, I have no son.
Ironically, Darkseid's other son Orion appears several episodes later. Darkseid openly acknowledges him as his son and takes pride in Orion's boldness and ferocity. To add insult, he says this in the presence of Kalibak. All this despite Orion being on the side of New Genesis.
Parodied in a dream sequence in My Little Pony: Friendship Is Magic. Apple Bloom had a nightmare her apple farmer family shunned her for not getting an apple-related Cutie Mark.
Riot's father literally said "I have no son." when he disowned him in the Jem episode Riot's Hope. His father disapproved of Riot being into music - insisting only "sissies and women" were musicians - and Riot joined the army due to his dad. He eventually informally quit and joined a band. When he came home after being dishonorably discharged his father disowned him. They rekindle their relationship later after Riot's mother's health deteriorates due to stress related to them fighting.
This is what happened to Stan Pines in Gravity Falls where for accidentally ruining his brother's college dream, he is disowned by his family and kicked out of his home and even leaks in to the present day when both Stan and Ford mutually disowned each other as brothers after the latter demand to end his Mystery Shack dream forever with the former even declaring the kids as the only family he has left.