Speaking of punk rock, Mr. Giger can claim some significant cultural influence in that sphere too.

Klaus Flouride, the bassist for the Dead Kennedys had mentioned in an interview from 2003 that personal differences between band members, regarding the "Work 219: Landscape XX (penis landscape)" painting, were the breaking point determining the band's breakup:

  ...the Frankenchrist thing was, say, a final straw as far 
  as [Jello Biafra] going in a different direction than what 
  we wanted to do. I felt that the poster itself was shock 
  for the sake of shock value. We'd shocked people before, 
  but we'd always tried to have a point behind it. I didn't 
  see the point he was making. But we didn't quit after the 
  lawsuit happened. We quit when he decided that that poster 
  was gonna be in there one way or the other, and we could 
  take a hike if we wanted to. So we said, "Well, why don't 
  we call it 'Jello Biafra and Dead Kennedys?,'" since 
  that's what it was becoming anyway at that point. [1]

[1] http://www.markprindle.com/flouride-i.htm

And then...

  The poster was printed and inserted in the Frankenchrist 
  album with an additional sticker on the outside 
  shrinkwrap, warning buyers of the contents. The resulting 
  trial for obscenity nearly drove the label into 
  bankruptcy. [2]

  The artwork caused a furor with the newly formed Parents 
  Music Resource Center (PMRC). In December 1985 a teenage 
  girl purchased the album at the Wherehouse Records store 
  in Los Angeles County. The girl's mother wrote letters of 
  complaint to the California Attorney General and to Los 
  Angeles prosecutors. In 1986 members of the band, along 
  with other parties involved in the distribution of 
  Frankenchrist, were charged criminally with distribution 
  of harmful matter to minors. [3]

[2] https://en.wikipedia.org/wiki/Penis_Landscape

[3] https://en.wikipedia.org/wiki/Dead_Kennedys#Frankenchrist_an...

  ...it provoked a legal offensive against the band 
  beginning in April 1986. As well as having his flat torn 
  apart by the police, Biafra was charged with "distributing 
  harmful matter to minors," a charge which he repulsed on 
  the basis of the First Amendment right to free speech and 
  which was dismissed the following year. [4]

[4] http://www.deadkennedys.com/history.html

But there were lots of album covers, and not everybody who chose Giger's work stirred up quite the same shitstorm as the Dead Kennedys.

Some of the other album covers Giger's artwork has graced, include the likes of Glenn Danzig, Debbie Harry, Carcass and Celtic Frost.