Written and first recorded by Bob Dylan (1964).
Also recorded by Joan Baez (1964).
Hit versions by Johnny Cash & June Carter Cash (US #58/C&W #4 1965), The Turtles (US #8 1965).
From the wiki: “‘It Ain’t Me Babe’ was written by Bob Dylan and originally appeared on his fourth album Another Side of Bob Dylan. Dylan’s biographers generally agree that the song owes its inspiration to his former girlfriend Suze Rotolo. Dylan reportedly began writing the song during his visit to Italy in 1963 while searching for Rotolo, who was studying there.”
Joan Baez, “It Ain’t Me, Babe” (1964):
Johnny Cash & June Carter Cash, “It Ain’t Me, Babe” (1965):
The Turtles, “It Ain’t Me, Babe” TV performance (1965):