Omorka, I considered adding “Simple Gifts” to my list. It certainly sets things in perspective for me.
Mott the Hoople’s cover of the Doug Sahm song “At the Crossroards”.
Stevie Ray Vaughn - Riviera Paradise
Rachmaninoff’s Vespers (All-Night Vigil)
Miles Davis - Miles Runs The Voodoo Down
I second AHunter3’s Second Movement of Beethoven’s 7th.
Also, Bjork’s “Gloomy Sunday.”
“Twilight Time” is by the Platters.
“Who Knows Where the Time Goes” by Sandy Denny/Fairport Convention.
“Caminhante Noturno” by Os Mutantes.
Wow, looking at this list makes me feel as though my taste in music is quite diverse.
Carmina Burana, pretty much the whole thing.
“Adagio in G Minor” by Albinoni.
“Dark Side of the Moon”, Pink Floyd.
Bunch of other stuff.
U2 - Unforgettable Fire
Tchaikovsky’s “Marche Slave” and “Romeo and Juliet”
Holst “the Planets” the whole thing.
“Siegfried’s Funeral March from The Ring” by Richard Wagner
The fact that it’s the accompanying music to Arthur’s death scene in Excalibur significantly heightens the “tingle” factor.
I second Carmina Burana.
Prokofiev’s ‘Dance of the Knights’ from Romeo and Juliet.
Porcelain & Why Does My Heart Feel So Bad by Moby
Elise and Pictures of You by the Cure
Stevie Ray Vaughn’s version of Little Wing
Marvin & Tammy – You’re All I Need To Get By and
Stevie Wonder – As.
Sometimes The Farmer in the Dell, too, depending on who’s singing (that whole bit where the cheese stands alone, man . . . so moving). 
Pink Floyd’s Wish you were here album.
Moussourgsky’s Pictures at an Exhibition.*
Bill Cosby’s chicken heart routine.
See? Got all excited just thinking about it and messed up the coding.
Billie Holiday’s version of “Strange Fruit”
Nina Simone’s “Mississippi Goddam”
John Lennon’s “Imagine”
also,
Just about anyone singing"Some Enchanted Evening"
Beethoven’s Ode to Joy because it always reminds me of that scene in Immortal Beloved when there is no sound and he turns around to see the cheering audience.
The Dubliners - The Town I Loved So Well:
“With their tanks and their guns, oh my god what have they done, to the town I loved so well.”
Crosby, Stills, and Nash - Southern Cross:
“She is all that I have left and Music is her name.”
Welcome SojournerSamson! I also love Some Enchanted Evening. It was the first song that Mrs. Gaffer and I danced to at our wedding - and it still gives me tingles.