Most achingly-beautiful music

Beatles Abbey Road always gets me. Never Fails

Same thing Miles Davis's Kind of Blue, especially So What

Last one hard to choose, but have to go for women vocals given "achingly beautiful" i guess...that's eva cassidy's live album

Schubert G flat major Impromptu
Mozart Clarinet Concerto 2nd movement
Beethoven "Spring" Sonata for violin and piano 1st and
2nd movement
Lauridsen Lux Aeterna
Allegri Misere
Grieg Piano Concerto 2nd movement
Beethoven Violin Concerto 2nd movement
Schubert Die Schonen Mullerin final song
Strauss Four Last Songs
Vaughn Williams Lark Ascending
Somei Sato Birds in Warped Time II
Korngold Die tote stadt
Wagner Liebestod
Mal Waldron/Eric Dolphy Warm Canto

Not sure if the most achingly-beautiful music,
but a few pop songs that will bring a tear to my eye:
Peter Paul & Mary - Where have all the flowers gone
Stevie Ray Vaughan - Life by the drop
Smashing Pumpkins - Rocket
The Beatles - Blackbird

The slow movements from the Shostakovich 5th Symphony and Violin, Cello and Piano Concerti. He had a special knack for writing these movements.

I am exploring the Dvorak "Cello Concerto", I heard it performed live on Sat. night by The Haddonfield (NJ) Symphony with Mark Kowsower as soloist. Wonderful music.