These album outtakes aren't "acoustic" (see post above), but will go nicely just before "Wild Horses" if you are so inclined. Both are from
Beggar's Breakfast and feature Nicky Hopkins on keys
.
They were most likely recorded at Stargroves and then overdubbed and mixed at Sunset Sound and/or Elektra Studios in L.A.
Brown Sugar - early mix with different lead guitar by Mick Taylor
http://www.badongo.com/file/7145701
Sway (early acetate)
http://www.badongo.com/file/7145410