I'm going to have to put two in here, but the first:
https://www.youtube.com/watch?v=wC5EaOcgx90 --> Death Cab for Cuties cover of 'This Charming Man' by the Smiths. This is from the album that is full over covers, appropriately called 'You Can Play These Songs With Chords'. It was this album that actually got me into Death Cab, so eternally grateful. Two of my favourite bands in one song.
Second:
https://www.youtube.com/watch?v=LGmQXuySF28 --> Herb alpert & the tijuana brass covering 'A Taste of Honey' by the Beatles. Don't know how on earth I found this, but it somehow made it its way onto my car playlist on spotify. It came on the other day for the first time, and I like it because it largely removes the creepy elements of the original version. I mean, for that reason, I guess it changes the song in its entirety, but nonetheless, v groovy.