I'm a bit out of my depth here, since I'm new to this. I'm not quite ready to strut around calling myself an audiophile. That said, there are some recordings from my paltry collection that just sing!
1) Joy Division's "Love Will Tear Us Apart" ep as covered by Swans in 1988. I read that Gira regretted doing this cover, but I love it. The beautiful acoustic strings completely upstage the arid post-punk dirge of the original.
2) I don't know how many here are open to electronic music, but Lassigue Bendthaus (Atom Hart's pet project before doing Senor Coconut) released a cover album that blows my mind: Pop Artificielle (1998). I think it would do better in high-sensitivity monitors, but my 86/dbs do a decent job. Like any well-done electronic project, there are endless details here. It may sound too pretentiously intellectual for some, but many others will just say it's stupid. ;)
3) No More Shall We Part by Nick Cave and the Bad Seeds. Maybe I'm just a noob hipster, but I have to give credit here. Even though I'm rarely in the mood for this album (no offense, Nick, you know I love you), I can't deny the production values of anything he does. This guy has been around a long time and knows how to put it together.
