Hallelujah, Jeff Buckley’s cover
Dance me to the end of love, Leonard Cohen
I’ve got my love to keep me warm, Billie Holiday’s cover.
Winter, Tori Amos
True that.:smack:
Over recorded in recent years and overexposed due to Susan Boyle going viral, but I Dreamed a Dream from Les Mis is a beautiful showtune.
“Girl with No Eyes” by It’s a Beautiful Day, just edging out their better known “White Bird.”
Lyle Lovett’s “Nobody Knows Me”
Emitt Rhodes’s “Lullaby.”
John Prine’s "Hello in There.
Just saw this in another thread: “Feed the Birds” from Mary Poppins
Speaking of “achingly beautiful” reminded me of the song “Ache Beautiful” by Mike Roe
“Dunce Cap” by the Lost Dogs
“Why Worry” by Dire Straits
Going back a few years, “Jesu, Joy of Man’s Desiring” by J. S. Bach
And of course, the “most beautiful song in the English language,” Waterloo Sunset" by The Kinks.
This is quite old: Donna Summer - Our Love. Now there’s a whole lot of stuff, certainly New Order owe a debt to this tune and Giorgio Moroder.
It seems a bit old I suppose. Here’s Charles Mingus:. This is great.
I’m not entirely sure about this: Obama vs McCain vs Palin, gets a bit dull after four or five minutes:
Eva Cassidy’s Fields of Gold.
I love it unapologetically.
Bird Gerhl - Antony and the Johnsons
The Lake : Antony and the Johnsons
anything from Sigur Ros
play dead : Bjork
ask the mountain : Stina Nordenstam
Murder In Mairyland Park : Stina Nodenstam
Hairnet Paradise : Cocorosie
Tekno Love Song : Cocorosie
Delibes Flower Duet. Not sure if it would count since the lyrics aren’t in English and frankly I’ve no idea what they are saying (I could google but no desire to do so ).
Ah, Pavement Summer Babe and Sonic Youth Expressway 2 Yr Skull and The Fall - I am Damo Suzuki and here’s a tune that has Damo Suzuki doing his thing.
Someone had to post it. “Hallelujah” by Jeff Buckley was already mentioned as well, so 2 of my favs are covered.
Lots of good ones here, but no Angel yet?
Here’s another of my usual suspects:“Great Gig in the Sky” by Pink Floyd
I’ll end with this one, Van Morrison’s “Into the Mystic”.
Clipe by 3 sud est a Romanian band. I have no idea what it’s about.
Both Sides Now–Judy Collins version
Nitpick but Adiemas is by composer Karl Jenkins, not Enya.
Although anything by Enya (and to a lesser extent Sarah Brightman) can be considered “achingly beautiful”.
I would throw in these standard picks:
Mazzy Star - Fade Into You.
Sarah McLaghlan - Building A Mystery
Sarah Brightman - Deliver Me
I found this version of Por Ti Volare achingly hilarious.
Schubert’s Ave Maria http://www.youtube.com/watch?v=V4vBAR4EaHY&feature=fvw
That’s “achingly beautiful”? Eye, or ear, of the beholder, I guess. Cool video at least. 
Bach’s “Air on the G String” (ripped off by Procul Harem in “Whiter Shade of Pale”).
Vienna Teng “Lullabye for a Stormy Night”
(Apologies for the glurgey video…just listen.)
Astral Traveling, by Pharaoh Sanders
Rainy Night House, by Joni Mitchell
Angel Weep for Me, by Chrissi Poland
For No One, The Beatles