In Chronological order, because ranking how moving something is would seem a little bit odd. However, I have put in bold my 5 favourites.
Bach: Goldberg Variations - Listening to the entire piece beginning to end is often a transcendental experience.
Bach: St Matthew Passion - Opening chorus + Klemperer is my recipe for being moved.
Bach: Art of Fugue - 'Moving' is an understatement when it comes to the final fugue. (played by Gould)
Pergolesi: Stabat Mater - very sublime.
Mozart: Requiem - I usually just listen to the Kyrie, but God, it is heavenly music
Beethoven: String Quartet No. 14 - The opening violin notes sound like stabs in the heart.
Beethoven: Symphony No. 6 - The storm clearing away to the 5th movement is a hypnotising moment for me.
Chopin: Nocturne in C sharp minor - It's a very magical 5 mins of music.
Brahms: Symphony No. 4 - Such a well constructed, moving work.
Schumman: Kinderszenen - It's childlike simplicity in the 1st and Traumerie movement is very moving.
Bruckner: Symphony No. 9 - The coda of the 1st movement and the last 5 minutes..... No words. Only chills
Mahler: Symphony No. 6 - I still can't get over the finale.
Mahler: Symphony No. 10 Finale - I find this the most moving of them all. Especially the last chord.
Elgar: Cello Concerto 1st movement - Very dark, nostalgic, and
Strauss: Metamorphosen - Strauss could't attend the premier, surely that tells you something.
Gorecki: Symphony 3 movement 1 - This movement I find absolutely devastating (I don't much care for the others)
Arvo PĂĄrt: Cantus in memory of Benjamin Britten - The 'good' type of atmospheric.