Elgars Nimrod does that to me as its just so powerful.
And also this. I think Lily Allen's version had a slight edge over Keane's original and I get very emotional when I hear it that i sometimes regret playing it.
https://youtu.be/_W2b8xw-WL0
And weirdly enough there is a song by Madonna called Oh Father which is haunting. When Like A Prayer first came out in the late 80s I had it playing over and over whilst reading a bio on Marilyn Monroe.
I've never heard the Jane Eyre music.