The Rolling Stones – As Tears Go By

"As Tears Go By" was one of Jagger and Richards' first compositions. The story goes that Andrew Loog Oldham locked Jagger and Richards in a kitchen to force them to write a song together, even suggesting what kind of song he wanted: "I want a song with brick walls around it, tall windows and no sex." The result was initially called "As Time Goes By". It was Oldham who replaced "Time" with "Tears". The first recording was by Marianne Faithfull who had a modest hit with it 2 years before the Rolling Stones. Not really a cover, but still...