'The Bad Plus' are the go-to piano trio specializing in modern day pop song covers.
They cover the whole spectrum of post 60's pop from Burt Bacharach to groups like Nirvana and even Abba.
Each song's melody is respected yet given a substantial makeover in a very modern post bop/fusion idiom which can sound by turns as Elegiac as anything by Bill Evans or else tricky and abstract and played with a decidedly rock sounding attack and physicality.

Their interpretations of well known tune are as revelatory as they are idiosyncratic and you should check out the samples of their work on Amazon or youtube.
A partial list of their cover versions includes

David Bowie : Life on Mars
Abba : Dancing Queen
Nirvana : Smells Like Teen Spirit
Burt Bacharach : This Guy's in Love with You
Rush : Tom Sawyer
Black Sabbath : Iron Man
Radiohead : Karma Police
Blondie : Heart Of Glass
Aphex Twin : Film
Tears for Fears : Everybody Wants to Rule The World
Longwave : Everywhere you Turn

Another artist in this vein is Brad Mehldau, one of the most gifted post-Bill Evans pianists of his generation. His covers are equally surprising in their source material but more within a typical Jazz piano trio vocabulary in their rendition. A partial list of his covers includes

Radiohead : Exit Music
Radiohead : Everything in Its Right Place
Radiohead : Paranoid Android
Sufjan Stevens : Holland
Neil Young : Harvest
The Beatles : Blackbird
Nick Drake : Things Behind the Sun
Nick Drake : River Man
Paul Simon : Still Crazy After All These Years


HTH

Alan