The band's unique sound and appearance quickly found an audience in the U.K. In fact, "Peek-A-Boo" was off the group's ninth studio album (Peepshow); all of the previous eight LPs broke the top 15 on the U.K. album charts.
The song also showed Siouxsie and the Banshees' continued sonic experimentation. The idea for "Peek-A-Boo" began during the band's previous album, when they began writing a song based on playing John Cale's "Gun" backwards. A year later, the song, with its layered instruments and cutting lyrics was ready, and became the lead single off Peepshow.
Ironically, the success of "Peek-A-Boo" came back to haunt the band, as the song was found to infringe on the 1938 standard "Jeepers Creepers." In response, Harry Warren and Johnny Mercer (who wrote "Jeepers Creepers" ) would go on to receive songwriting credit for "Peek-A-Boo."
Siouxsie and the Banshees would remain together until 1996, although the members (including Siouxsie Sioux) remains active in the industry as of this writing.
Cool trivia fact: Siouxsie and the Banshees is an official one hit wonder, as only 1991's "Kiss Them for Me" (#23) broke the top 40 in the U.S.