Though The Rolling Stones landed their first U.K. No. 1 in July ’64, the band was still looking for its breakthrough single in America. That August, when “Tell Me (You’re Coming Back)” peaked at No.

Songs and remixers don't often pair off this perfectly. As a production duo, Norwegian dance dudes Hans-Peter Lindstrøm and Prins Thomas specialize in a luxuriant, champagne-dipped form of ...