Regina Spektor's cover of While My Guitar Gently Weeps from the end credits of Kubo and the Two Strings was pretty good.

Either Half the World Away by Youtube singer Jemma Johnson or her crossover version of La Vie En Rose and Fly Me To The Moon.

There's also Shalyah Fearing's cover of Broken Wing.

"Bela Lugosi's Dead" by CHVRCHES (no offense to Bauhaus). 

Probably this particular jazz cover of a Pokemon track.  If that counts.