The first episode of the Excel Saga anime parodies this. Lord Il Palazzo believes manga is corrupting the youth of Japan, and sends Excel out to assassinate manga authors, starting with the author of the Excel Saga manga. She succeeds, and is promptly bitched out by the personification of the universe — essentially a living Reset Button — for breaking reality by killing her own author. It's that sort of show.
Library War is about a future Japan where the government institutes a policy of book burning and culture policing. An intentional loophole built into the law by its less enthusiastic signers allow public libraries to 'confiscate' books and save them from the bonfires, which has led to an elaborate system of ritualized warfare between culture police and the libraries.
AKB 0048, we have the DES are heavy against Idols and will open fire on them and their fans.
The Spanish comic Fanhunter involves all of Europe being taken over by self-proclaimed Pope Alejo Cuervo, a deranged ex-librarian who believes himself to be channeling the ghost of Phillip K. Dick. After Cuervo bans all forms of subculture, an organization of sci-fi, comic, anime, and other fanboys known as La Resistencia organizes to fight Cuervo and his crack teams of "Fanhunters".
In Marvel Comics' The New Exiles, Dr. Doom, after taking control of the world, not only bans culture (comedy in particular), but also people's ability to show any strong emotion other than love and adoration toward him and hatred toward Reed Richards.
The Facist Govrnment does this in V for Vendetta, confiscating or stomping out most forms of art and music; V, as a contrast, uses the stomped out materials as an iconic symbol.
Probably the most famous example of the mundane variety is Reverend Moore from the film Footloose. In fact, they act like pop music is banned. Like, against the law. Ren (Kevin Bacon's character) is able to work around it by appealing to the town by explaining the historical use of dance to celebrate life.
The most famous example of the fantastic variety would be the Blue Meanies from Yellow Submarine.
Utilized in Pleasantville as the presence of two kids from the real world starts making a small town from a sitcom set in an idealized version of The Fifties more and more real. One particularly non-subtle scene visually feature an angry mob breaking into a store and tearing paintings apart — then moving on to burn books. The town establishes a Code of Conduct prohibiting all recorded music except "Pat Boone, Johnny Mathis, Perry Como, Jack Jones, the marches of John Philip Sousa or 'The Star Spangled Banner'."
The Grammaton Clerics of the film Equilibrium were an elite police force tasked with destroying all art and killing anyone who possesses art. This was because the dystopian government was attempting to stabilize society by completely eliminating human emotion (why the government needs an elite, Gun Kata trained task force to carry this out is never really explained).
The surreal Swedish comedy Picassos äventyr (The Adventures Of Picasso in the States) have Prohibition being not about alcohol, but art. Secret galleries work as speakeasies for people who want to see art, and are raided by the police; smugglers bring in paintings and sculpture from Canada, and Picasso gets a job producing, essentially, the art equivalent of moonshine for art-starved Americans...
In Duck Soup, Groucho Marx, as the newly installed ruler of Freedonia, lays down the law in a jaunty tune:
No one's allowed to smoke — Or tell a dirty joke — And whistling is forbidden! If chewing gum is chewed — The chewer is pursued — And in the hoosegow with him! If any form of pleasure is exhibited, Report to me and it will be prohibited! I'll put my foot down So shall it be-e-e... This is the land of the free!
The classic example is Plato's Republic; which advocates censorship and control of poetry and music, to eliminate unhealthy and undesirable beliefs and attitudes.
The world in the book Fahrenheit 451 has outlawed books, and employs professional book burners called "firemen".
Larry Niven, Jerry Pournelle and Michael Flynn wrote a novel revolving around this concept.
In Larry Niven's short story "The Return of William Proxmire", a Fictional Counterpart of the real-world Luddite Senator William Proxmire uses a time machine to go back and cure the disease that got Robert A. Heinlein a medical discharge from the Navy, on the grounds that every "pie in the sky" scientist and technologist he's ever met (and hated) cited Heinlein as an influence. Without Heinlein as a writer, he reasons, science fiction will be crippled, and none of those people will be influenced by his works. To be sure, he does go back to a "present day" where Heinlein hadn't become a writer — but true to form, it's not the world he wanted.
In the Piers Anthony short story "Nonent", an alien wants to destroy human ingenuity by destroying science fiction. He decides to send an unsolicited manuscript to all science fiction short story magazines, the second page of which will destroy the mind of anyone that sees it.
In the Orson Scott Card short story "Prior Restraint," a group of time travelers calling themselves the "Censorship Board" manipulate history by preventing certain great writers from publishing their work. Note that this board wasn't portrayed as completely bad — they did this because the author in question's works would result in the death of millions of people. They actually kept a copy of the work in their library. A rare (slightly) positive portrayal.
Perhaps the pinnacle of this trope is 1984, which has essentially banned all music except patriotic anthems, and any other form of media except propaganda. As the story ends, the government plans to delete the very words for rebellion out of the language.
Rudyard Kipling's In the Neolithic Agehammers stoneaxes home his view on the question.
Charles Dickens' Our Mutual Friend satirizes this sort of thing in the character of Mr. Podsnap: "The question about everything was, would it bring a blush into the cheek of the young person?"
Hard to Be a God by the Strugatski brothers takes place on a planet where books of any kind, and even literacy, are banned. "Progressors" from Earth are trying to ameliorate the situation, but the main problem is that the planet's culture is broken, and simply replacing the government will result in an old crapsack in new clothes — hence the name.
In the Stephen King short story "Children of the Corn," the eponymous children have destroyed a pipe organ and plugged it up with corncobs. On the music stand they have placed a presumably biblical passage regarding the sinfulness of artificially produced music (i.e., by instruments, rather than pure vocals). But then, He Who Walks Behind the Rows has some strange ideas about sin.
As detailed in the quote at the top of the page, The Book Of Lord Shang advocates making music and learning illegal so the average person will devote his attention to farming.
Society in The Giver is strictly regulated under a policy of "Sameness," in which life is carefully regulated to eliminate strife and division. Music and media have been eliminated. Weather is kept constantly pleasant, only raining at night to water crops while the people sleep. Sex drives, or "stirrings" as they're called in the Community, are suppressed by mandatory drugs (except for the few whose job it is to breed), as are other strong emotions. Even positive emotions like familial love have been carefully eliminated so as to avoid making waves. Animals of all descriptions have been eradicated, at least in the areas where people might actually see them, and even the ability to see color has been carefully removed from the general population. Everyone is kept in blissful ignorance of the fact that life has ever been any different, with the exception of one individual per Community called "the Receiver of Memory," who is entrusted with the memories of life before Sameness in case a situation arises that requires such knowledge to resolve.
In the Discworld novel Soul Music the Guild of Musicians (specifically Mr. Clete) are opposed to Music With Rocks In, because it's a type of music they can't control.
In Matched by Ally Condie, there are only 100 of the best artworks of the past allowed to be appreciated, and people are not taught to write or draw.
In the Delirium Series, dancing, poetry, certain types of music, loud laughter and public displays of affection are all banned. This is so because of the Dystopian Edict that states that love is a disease and forces everyone to get a surgery that removes the capability to love (and most other strong emotions).
Live Action TV
The Quantum Leap episode "Good Morning, Peoria" had Sam leaping into the body of a DJ during The Fifties and fighting a movement by the local government to ban rock music.
An episode of Xena: Warrior Princess had a town outlaw dancing and music while simultaneously passing a law that forced all children into military service. Xena was conscripted to train the children, and she undermined the changes by teaching the children dance and rhythmic music masked as military drills.
In the Doctor Who serial The Happiness Patrol, ruler Helen A insists her subjects be happy at all times and her enforcers, the Happiness Patrol, try to stamp out all depressing artforms, such as blues music.
In the Crusade episode "The Needs of Earth", a refugee thought to have information about a cure for the Drakh plague turns out to have recordings of his planet's cultural heritage, which is being systematically destroyed by its governing Moral Guardians.
The final episode of Max Headroom features a battle between the heroes and the Censor Board.
The band Styx did a concept album called Kilroy Was Here (which gave us the song "Mr. Roboto"). The eponymous Kilroy was a rogue musician using The Power of Rock to lead a revolution against the Majority for Musical Morality, a fascist Media Watchdog organization backed by The Government.
Rush's album 2112 had a similar theme — but Rush, at least, got it from Ayn Rand's Anthem (which also lent its title to one of their songs).
"Le Trente-Huit Cunegonde", on The Firesign Theatre's album Waiting for the Electrician or Someone Like Him, details a society in which the hippie counterculture of the '60s became mainstream. It opens with two police officers accosting a girl because she's not wearing a mini-skirt, and when they discover she doesn't have any drugs on her, they send her in for "re-grooving".
Cop #1: Dig, Larry: aspirin. Cop #2: Do her a favor, phone her in. Girl: I'm telling ya, I took all the uppers! You wanna hear me rap? "I saw the best minds of my generation..." Cop #1: Put her in the car.
The Clash's song "Rock the Casbah" is about a shareef who bans rock.
The music video for DJ Kentaro's "FREE" is about a world where vinyl is banned — specifically, vinyl records.
The Nine Inch Nails concept album, "Year Zero," features a dystopian future where the "Bureau of Morality" has eroded American civil liberties and generally act as a Culture Police against any form of expression, particularly music, that dissents against the powers that be.
Professional Wrestling example: The WWFheel stable Right to Censor was a group based on the Parents' Television Council, and were dedicated to stamping out sex and filth in the WWF. Their presence was used to lampshade a lot of changes to the product to make it less racy, such as the removal of Val Venis and The Godfather's smutty gimmicks (both of them renounced their "evil" ways and joined the RTC), and the loss of Billy Gunn's nickname, "Mr. Ass" (he lost the nickname as a stipulation in a match against one of the members).
The Inquisition and Adeptus Arbites of the Imperium of Man in Warhammer 40000 are pretty laid-back about culture, so long as planets revere the Emperor and pay tribute to the Imperium. However, if they see anything that could possibly be interpreted as a sign of Chaos, the purge will be swift and without mercy.
And culture can easily be one of the inroads for Chaos, through the cults of Slaanesh. So they can actually have cause for extreme reactions.
The Coalition States in Rifts makes literacy itself a crime. This is the primary reason why the number one person on their Most Wanted List is an outspoken 65-year-old woman who mostly writes books about her travels and freely teaches and encourages others to read.
Starchildren: The Velvet Generation (which could best be described as Ziggy Stardust: the RPG) takes place in a future where an organization colloquially known as "Mad Mother" has ridden the wave of public distrust and stamped out rock music.
Some of the less liberal of the Successor States in BattleTech have this.
Killer Queen and Globalsoft in We Will Rock You, the rock musical based on the music of Queen, are bent on eliminating all music and, thus, free thought, on Planet Mall, aka Earth.
Ironically, Killer Queen sings a song about half way through the play. This is excusable, though, because it's a musical. And who else but a villain could do "Another One Bites The Dust"?
After the Islamic Revolution of 1979, all western TV, film, and music was banned in Iran. When liberalizing political attitudes in the mid-2000s lead to some western music being authorized for sale in the country, ironically enough, a Queen's greatest hits album was the first disc approved for sale. This was due to Bohemian Rhapsody containing the phrase "Bismillah."
The final stage of Elite Beat Agents involves a showdown with the Rhombulans, aliens who conquer the Earth and ban all music, shooting petrification rays at anyone who defies them.
Revolution X has the New Order Nation, an anti-youth culture organization consisting essentially of Kerri Hoskins as Mistress Helga, a hot authoritarian woman in a dominatrix-esque leather outfit, and her throngs of machine gun-wielding mooks in yellow jumpsuits, which takes over the American government, bans television, rock music, and video games, and kidnaps Aerosmith.
The Jet Set Radio games have regular police and later trained assassins playing this role, trying to suppress a skater counterculture. Pompadoured police chief Onishima employs an oversized revolver loaded with rubber bullets, hordes of riot-shield wielding goons, and even tanks and helicopters armed with anti-riot gear to take your character down. All this turns out to be the plan of an evil corporate mogul so he can smother Tokyo in nothing but homogeneous, mediocre mainstream entertainment, as the first part of his plot to conquer the world with dark powers. No, really.
Normality plays this pretty straight; music is banned, joy is banned, most color is banned, and people have to turn their TV on (with only crap on air, of course) at all times. Later, you smash walls apart using a guitar.
The INKT corporation in De Blob bans music and color. They take a more proactive approach on color, sucking it away with robots... which they then leave around for the protagonist to slam into and gain color to go spread around Chroma City once more.
Several storylines in Fans! played this trope hilariously straight. Apparently, the only thing standing in the way of would-be world conquerors is science fiction fandom. Ban sci-fi, or go back in time and kill someone big like H. G. Wells, and Earth is all yours.
The Mayor in The Word Weary has a Grand Jury indict Yorick for his performance art.
In the Chaos Timeline in Technocratic Germany. Censors the book "Das Paradies der Goldis" by Katherine Geller (apparently a bit like Valley of the Dolls) for the depiction of mental diseases, drug addiction and lesbian love.
Shows up in A World of Laughter, a World of Tears, in the form of the Mickey Mouse Club, which manages to suppress, among other things, Elvis and Beatniks, causing them to leave for Europe.
In fact, in the Archie Comics, it is repeatedly stated that Robotnik hates all music and has technically banned it. Because he's a jerk.
One of the children's books that were written (ones where Sonic was a bit of a Magnificent Bastard) bans, among other things, music, books, television, and Nintendo.
The cartoon Madballs had Commander Wolfbreath and his men, who had banned music, dancing, and other forms of entertainment on their home planet and were trying to capture the protagonists (a rogue rock band that fled to Earth).
Kyle's mom Sheila on South Park is the freakin' CHIEF. In the episode "Death", she convinces the parents of South Park to commit mass suicide in order to get the networks to pull an offensive Terrance and Phillip episode, and in South ParkThe Movie, she ends up starting a war with Canada (and eventually The End of the World as We Know It) over the Terrence and Phillip film Asses of Fire.
The cartoon Oscar's Orchestra takes place in a dystopian future, and revolves around a plucky band of anthropomorphic instruments lead by a talking piano (the eponymous Oscar) and their efforts to fight Thaddeus Vent, the "Emperor of the World" who has banned all music.
Used in a Breather Episode of Avatar The Last Airbender, in which Aang attends a strict Fire Nation academy where it is revealed that apparently their culture, or at least their upper class schools, don't approve of dancing, or self-expression in general (this is completely unrelated to the Dai Li whose official job description is "Cultural Police"- they couldn't care less about cultural decay, they just want to make sure no one finds out about the hundred-year-old war that's still going on outside the city walls, and to maintain their secret stranglehold on power).
Other views into Fire Nation culture show more approval toward art and self-expression, such as General Iroh and his men playing music on board their ship or having the Gaang infiltrate a Fire Nation festival. This might mean it's mainly in formal institutions like school or military bases that expect such strict behavior, although one constant is that propaganda is everywhere (the festival had children watching a puppet-show with the Fire Lord as the hero).
Of course, things are also a lot less strict in the Fire Nation "Terrirories" in the Earth Kingdom.
Mocked, like all tropes, on The Simpsons with the episode "Itchy & Scratchy & Marge". After Maggie hits Homer on the head with a mallet, Marge creates a Culture Police group to protest the hyperviolent Itchy & Scratchy cartoons that inspired Maggie's attack. She successfully convinces the studio behind the cartoons to clean up their act. Later in the episode, when Michaelangelo's David is brought to Springfield as part of a coast-to-coast American tour, the group Marge started is appalled to discover that she doesn't want it banned despite the exposed genitals. When grilled about it on a local talk show, Marge is called out on her hypocrisy and is forced to admit that it's wrong to censor one form of art but not others.