As it’s YouTube night and as M. Simon started the tradition of “Not Fade Away” nostalgia here, so I thought I’d supply a few variations on the theme:
First, here’s the Rolling Stones, from a 1964 appearance on the Mike Douglas Show:

Originally a Buddy Holly song, “Not Fade Away” was the Stones’ first hit in the UK.
And it was a staple for the Grateful Dead, performing it here in1970:

Much as I’d love to find the original Buddy Holly version of “Not Fade Away” on YouTube, some things aren’t on video and probably never will be. (Well, there is a video showing the original record spinning, but that doesn’t count.)
I think the closest video is this. It’s not quite “Not” — but it is a video of Buddy Holly’s “Oh Boy”:

The year is 1958 and the crowd is pretty excited.