Firstly, every song Emmylou Harris has ever covered.
Secondly, Springsteen’s version of Chimes Of Freedom.
Thirdly, June Tabor and the Oysterband’s versions of Richard Thompson’s Night Comes In and the Velvet’s All Tomorrow’s Parties. They’ve covered Love Will Tear Us Apart on their new album together, I’ve heard it once on the radio, but I’ll need to hear it again to decide on it’s brilliance.
ETA: Fourthly, Nico’s version of The Door’s The End.