I don't think any of these have been mentioned.
1-Beethoven "HammerKlavier" Sonata op.106 (slow movement)
The words "achingly beautiful" were invented for this piece.
The approximately 90 seconds in the middle of the piece where the main theme transforms into an almost whispered refrain is the most orgasmic 90 seconds I have ever experience,listening to music that is:)
2-Beethoven Quartet opus 131.
The middle child or the brilliant "late quartets". Unlike the Hammerklavier, this one has to be experienced in its entirety. Unfathomably beautiful.
3-Jeff Buckley's cover of Len Cohen's "Hallelujah"
It's rare, but pop music can occasionally achieve "achingly beautiful" status. I feel like a selfish bastard always wishing he had not left us, just so he could make more music that touches the soul.