Led Zeppelin's Robert Plant and the Beatles' Sir Paul McCartney have both been voted less cool than Carla Bruni.
Bruni, the wife of French president Nicolas Sarkovy, topped the Alternative Cool List ahead of Kate Bush and Girls Aloud respectively.
US R&B star Beyonce and Plant completed the top-5 in the survey, which was carried out by Virgin.
Bruni topped the poll, which asked Briton's to name their favourite celebrity personality, with almost a quarter of the popular vote.
Earlier this year, France's first lady made a series of public appearances in the UK to promote her new album.
Sir Paul McCartney came in at number ten in the survey, one place ahead of US rapper Jay-Z.
You can keep up to date with all the latest news from Gigwise by following us on Twitter and liking us on Facebook.

Nicki Minaj supports Tim Westwood followin 1Xtra axe
Pete Doherty injected heroin on set of movie debut
Keira Knightley engaged to Klaxons James Righton
'Spinal Tap' star hospitalised after traffic accident
Robert Plant confirms extra live show with new band
Tory MP Backs Campaign To Secure Knighthood For Led Zeppelin's Jimmy Page
Robert Plant Plays Led Zeppelin Songs At Surprise Community Hall Gig
Steven Tyler: I'd Never Have Left Aerosmith For Led Zeppelin
Mystery musicians revealed: unmasked and no make up
The sexiest women in music: the 30+ edition
The many faces of Jessie J: volume two