And here is a little reminder from the MTV Rock the Vote website:

A Brief History of Banned Music in the United States

In 1957, producers of the Ed Sullivan show decide that Elvis Presley can only be filmed from the waist up because of that special way he wiggles his hips.
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In 1966, Beatles albums are banned—and burned—after John Lennon proclaims that the band is more popular than Jesus.
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In 1968, radio stations in El Paso, Texas ban all Bob Dylan records because they can't understand a darn thing he's singing and think he might just be saying something that they don't like.
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In 1981, Olivia Newton John makes the folks in Salt Lake City a little too hot and heavy with her song "Physical" and it gets yanked from the airwaves in the city.
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Tipper Gore starts the Parents Music Resource Center (PMRC) in 1985 to "encourage" record labels to monitor and rate their releases.
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In 1987, Jello Biafra of The Dead Kennedys is found not guilty of distributing pornography. The case is based on the album artwork for "Frankenchrist". However, the ruling comes after copies of the album have already been seized and destroyed.
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In 1990, the FBI lets rap group NWA know that they do not appreciate their song "Fuck the Police."
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That same year, record store employees are busted for selling copies of Two Live Crew albums in Florida, Alabama, and Tennessee. Members of the band, including front man Luther Campbell, are prosecuted for performing the "offensive" songs in concert.
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Wal-Mart bans a Sheryl Crow (a Rock the Vote board member) record because she makes her less than favorable opinion on their gun sales policy known.
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In 1997, the powers that be at Giants Stadium in New Jersey refuse to host OzzFest because Marilyn Manson is scheduled to perform—but the courts rule that they don't have the right to do so.
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In 1998, C-Bo is arrested for parole violation for including a lyric which criticizes California's "three strikes and you're out" law. According to the powers that be, the lyric advocated gang violence or violence against the police.
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In 2001, following the September 11th terrorist attacks, Clear Channel Communications, the largest owner of radio stations in the United States, releases a list of more than 150 "lyrically questionable" songs that station's may want to pull from their playlists. Few songs portray explicit violence, but most have metaphoric themes that ring a bit too close to the tragedies. The list, containing music from almost every genre in popular music, includes Sugar Ray's "Fly," "Jet Airliner" by Steve Miller, Nine Inch Nails' ; "Head Like a Hole," AC/DC 's "Shoot to Thrill" and "Highway to Hell," Pat Benatar's "Hit Me with Your Best Shot," "Dust in the Wind" by Kansas, Jerry Lee Lewis's "Great Balls of Fire," REM's "It's the End of the World as We Know It," "Only the Good Die Young" by Billy Joel, Dave Matthews Band's "Crash Into Me," "Nowhere to Run" by Martha & the Vandellas, and all songs by Rage Against The Machine.
Adapted from Eric Nunzun's "A Brief History of Banned Music in the United States".
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In March, 2003, country stations across the United States pulled the Dixie Chicks from playlists following reports that lead singer Natalie Maines said in a concert in London that she was "ashamed the president of the United States is from Texas" admist pre-war fervor over the United States' subsequent invasion of Iraq. Station managers said their decisions were prompted by calls from irate listeners who thought criticism of the president was unpatriotic.
[Source, CNN]

That same May, country music station KKCS, in Colorado, suspended two disc jockeys for playing songs by the Dixie Chicks in violation of a ban imposed by the station manager.