First recorded by The Crickets (1957).
Hit version by The Rolling Stones (US #43/UK #3 1964).
Also recorded by Rush (CAN #88 1973), Tanya Tucker (1979).
From the wiki: “‘Not Fade Away’ is credited to Buddy Holly (originally under his first and middle names, Charles Hardin) and Norman Petty, and was first recorded by Holly under the moniker of his band, The Crickets. The group recorded the song in Clovis, New Mexico, on May 27, 1957, the same day the song ‘Everyday’ was recorded. The song’s rhythm pattern is a variant of the Bo Diddley beat; Crickets drummer Jerry Allison pounded out the beat on a cardboard box.
“Contrary to the depiction in the 1978 film The Buddy Holly Story, ‘Not Fade Away’ was NOT the last song Holly ever performed before his fatal plane crash. In a 50th anniversary symposium held in Clear Lake, Iowa, where Holly last performed, discussion panel members Tommy Allsup, Carl Bunch, and Bob Hale – the emcee at that final show of February 2, 1959 – all agreed that the final song of the night was Chuck Berry’s ‘Brown Eyed Handsome Man’, performed on-stage together by all of the acts.