I don't cry over songs. But there are quite a few, that given the right situation I could see myself coming to tears over. Those are as follow.

Never had no one ever - The Smiths

Georgia Lee - Tom Waits

Against the wind - Bob Seger

Hurt - Johnny Cash

Wild Horses - The Rolling Stones

Changes - Black Sabbath

Always on my mind - Willie nelson

She's gone - Hall & Oates

etc.