JOHNNY WINTER, 1983-05-18, 'Late Night' w/David Letterman, New York, N.Y.
18 May 1983, 9:39 min, exc-

A short one: "Johnny B. Goode" played live at the David Letterman show, followed by a short interview of a panting Johnny! (last few seconds missing).
A pretty good video of the full Letterman show is available at: