Many, many songs do this: "The Weight," "Where Have All the Flowers Gone," "Redemption Song," Dylan's "Dark Eyes"....countless songs.
In jazz, some that comes right to the top of my mind are Miles with "Flamenco Sketches" and "The Man I Love," Mingus' "Duke Ellington's Sound of Love," "My One and Only Love" by Coltrane and Hartman, "African Sunrise" by Randy Weston, and "Bessie's Blues" by Tyner with David Murray and Arthur Blythe.