Like similar collections by Guns ‘N’ Roses [Appetite For Destruction: Deluxe Edition] and Pink Floyd [The Early Years 1967–1972: Cre/ation], R.E.M.’s The Best Of R.E.M. At The BBC (CD, vinyl) is a two-disc sampler from a much larger boxed set, the 8CD/1DVD R.E.M. At The BBC (CD, digital) [my review of which is here].
But while there’s a lot of good music on R.E.M.’s Best Of collection, it’s hard to recommend when the vastly superior complete collection is so readily available.