Gretchen Wilson, who's not even related to Ann or Nancy (and is a country artist), along with Alice In Chains, pulled this off. Guess if you got the Heart, you can do it.
Barracuda
There are quite a few that have covered "Creep" and done it well, all with their own style. PMJ comes to mind...Tom "Lucifer" Ellis doing a Radiohead cover
Ataris covers "Boys of Summer". Packs a little more punch than the original. Lyrics by Don Henley, but Mike Campbell from Tom Petty and the Heartbreakers wrote the music. Brought it to Tom first, but Tom didn't think it fit them. Producer Jimmy Iovine suggested Henley.