Bob Dylan
The Studs Terkel Wax Museum, WFMT radio, Chicago.
Recorded Late April 1963; broadcast in May.

An extraordinary radio show by young Bob, performed with extremely focused attention.

1 Intro
2 Farewell
3 A Hard Rain's A-Gonna Fall
4 Bob Dylan's Dream
5 Boots Of Spanish Leather
6 John Brown
7 Who Killed Davey Moore?
8 Blowin' In The Wind
        66:55

There are no reliable dates for this (though people have freely published their guesses as fact), but clearly it was recorded just before Dylan's "late April" Bear Club show and broadcast in May, after that show.