Punk influenced just about everything and still does. The two biggest shake-ups in modern culture were rock'n'roll in mid-fifties American and punk twenty-odd years later in Britain.
Massively sweeping. What about television, the internet? Even if we stick to music, what about The Beatles who remain the blue print for every rock band since, or the influence of Soul and Motown?
Who influenced the Beatles?
Loads of diverse people but predominately the Rock and Roll and Soul/Motown of the '50s/early '60s. However, by 1962 Rock and Roll was dead; Elvis was in the army, Chuck Berry and Jerry Lee Lewis were either in prison or disgraced, Little Richard had forsworn the "devil's music" and Buddy Holly and Eddie Cochran were literally dead.
Inspired a generation of spotty teenagers to pick up guitars and write songs, who subsequently went on to form the bands of the later sixties and seventies.
Set the expectation that bands should be self contained units, playing and singing on their own records, writing and arranging their own songs, selecting their own cover material.
Developed the album -rather than the single
Developed big outdoor concerts
Along with Dylan took songwriting away from simple love songs to being about virtually any subject.
Started world music
Started benefit concerts.