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I'd recommend just starting with their first two records, Murmur and Reckoning. It's great, great stuff. Their sound changes throughout their career though - so if their early stuff isn't much to your liking, try checking out some of their mid '90s material. Here's a sample of one of their early songs:
Just for comparison, here's a song of theirs from the mid '90s - as you can tell, the sound is quite different.
Most R.E.M. fans would disagree with me, but Up is my favorite album of theirs. R.E.M.'s Kid A, or close to it. Their only record that I think can safely be skipped is Around the Sun.
Yeah, thanks. The first video you posted shows up as unavailable to me (maybe a regional thing), but also judging by RYM it seems starting with either Murmur or Automatic for the People would be way to go. Figure I'll just start at the beginning and then throw in Automatic... somewhere.
That's interesting about Up too. What aspects of it appeal to you in particular?