Lesser Known Covers That Actually Are Great?

There are a number of covers out there that could be argued to be better than the original, and some that are well known, such as Johnny Cash's cover of Hurt. What are some of the lesser-known ones out there that you think should be known?

I came across Lissie doing a cover of Fleetwood Mac's "Go Your Own Way," and she does it justice.

Any others?

Edit - It's going to take me a while to get through these recommendations of ones I had not known about. Playlists are being made. Thanks for sharing!