Minutemen's version of "Ain't Talkin 'Bout Love" (Van Halen) always cracks me up . . .
The first time I heard Husker Du's version of "Eight Miles High" I couldn't even tell what song it was! They also did a nice version of "Love Is All Around" aka "Theme From the Mary Tyler Moore Show" (which was set in Mpls so it's kind of like that city's "national anthem".)