Covers:

1941:

Wright Brothers Gospel Singers [as Wake Me, Shake Me, Don't Let Me Sleep Too Long]

1957:

Staple Singers [in gospel medley Let Me Ride as an arrangement of Swing Low Sweet Chariot]

1960:

Coasters [secular version of the Staple Singers', not so much fearing not going to heaven but to lose a job]

1961:

Rev. Gary Davis [as Trying To Get To Heaven In Due Time]

1966:

Blues Project [as Wake Me, Shake Me]

1966:

Myddle Class [garage band classic as Don't Let Me Sleep Too Long; Al Kooper (ex Blues Project) claims The Myddle Class knew the song through The Blues Project, a band they once opened for]

1972:

Lou Reed [lyric line in Wagon Wheel ("Why don't you wake me, shake me, please don't let me sleep too long"); The Velvet Underground was The Myddle Class' supporting act in '65]