Most achingly-beautiful music

Brian Wilson: "God Only Knows" (heard on the Beach Boys' Pet Sounds album), "Til I Die" (on their Surf's Up album).

https://www.youtube.com/watch?v=dLk6vqaxU1Y 


Listen to that and you will go into the abyss of the heart with a pianist guide playing as if like perfect playing was only child practice...This god is the best pianist I ever listen to...

Ones that move me

Gary Moore, Bathory, Overkill, thin Lizzy, Humble Pie, Venom, Sodom, Jackson Browne.

with several runners up.

Beatles. 

Almost anything by Roberta Flack; but I'll offer "The Impossible Dream" today because her interpretation is so unique. 

https://www.youtube.com/watch?v=H24wcLTj0BQ

Lemme know how you feel.

I must admit that the album by Roberta Flack and Donny Hathaway has touch me very much indeed... Then I think that you are right for his "uniqueness"...And I am not a fan of "soul" music tough, but genius is genius... My best to you...