In much the same way some musicians do cover versions of other musician’s songs, imagine writers doing cover versions of other writer’s works, like Tom Clancy’s Clear And Present Danger covered by Janet Evanovitch. 
What rewritten woks would you like to see?
Like, what if The Lord of the Rings was written by someone else, that sort of thing?
Any example but that one, I think.
How about the Old and New Testaments rewritten by Margaret MacMillan.
James Elroy covers James Joyce. Add one hundred thousand periods and exclamation points, and a mess of profanity and racial slurs and Finnegans Wake is back on the NYT Bestsellers list.
Two real-life examples of cover stories are Wicked: The Life and Times of the Wicked Witch of the West and Grendel. Pride and Prejudice and Zombies might too far from the source material to meet your criteria.
On my wish list, I’d like to see HP Lovecraft cover any dime-store romance novel with Fabio on the cover.
There’s one actual example of this I know of. John Scalzi wrote a updated version of H. Beam Piper’s Little Fuzzy.
If only Philip K. Dick could have rewritten the Berenstain Bears books.
Did you miss his rewrite of the Berenstein Bears?
Oh, wait, you’re not from… never mind.
Right now, I happen to be listening to a cover of a song, further remixed by another artist. So, literally (and I do mean that literally), we could have a classic, “covered” by a popular author, but then also have the remix by some young, gonzo writer.
And then illustrated by Chris Van Allsburg, whose art is then reimagined by Bill Sinkiewicz (excellent comic book artist), then updated by Eric Carle’s grandkids and their posse of graffiti artists.
I’d pay to read that. Sister Bear plays with Perky Pat - and then it gets weird.
As for the OP, since Wicked was already mentioned, there is Rosencrantz and Guildenstern are Dead.
Mad Magazine once published a “Poetry Round Robin,” consisting of a dozen poems each rewritten by Frank Jacobs in the style of a different poet. It started with Edgar Allen Poe’s “The Raven” as written by Joyce Kilmer, followed by Kilmer’s “Trees” as written by John Masefield (“I must go up in a tree again”), etc……eventually coming back to Ernest Lawrence Thayer’s “Casey at the Bat” as written by Edgar Allen Poe (“Once upon a final inning, with the other ball-team winning…).
10 year old me was probably glad he missed that issue.