There's one person who performed in-studio during the same TV program on which the Sex Pistols made their first TV appearance; appeared in the West End production of an early Andrew Lloyd Webber musical; had a role in one of the superior comedy movies of the 20th century; married a great UK comic writer/performer; and is now mayor of a town in the UK.
Who is it? Spoiler below.
It's Sue Jones-Davies. She was a member of the Bowles Rrothers Band, which performed on the same 1976 episode of Tony Wilson's So It Goes as the first Sex Pistols TV appearance. She appeared in Jesus Christ Superstar in London in the seventies. She played Judith Iscariot in Monty Python's Life of Brian. She married Chris Langham. She's mayor of Aberystwyth, in which The Life of Brian was presumed to have been banned (though it probably wasn't in actuality). She "lifted the ban" and had a special showing in 2009.
I bet there are a lot of good stories to be told by this person.