Just off of the top of my head I would say...
Hurt by Nine Inch Nails Dust in the Wind by Kansas Cemetery Gates by Pantera Fade to Black by Metallica Drive by Incubus Amber by 311 The Leaving Song by AFI Around Here by Counting Crows Behind Blue Eyes by The Who My Friends by Red Hot Chili Peppers Everybody Hurts by REM
Most of these have some personal reason, that's why they maybe a little odd. lol And not everytime I hear these songs do I cry, they can just bring back thoughts, etc, etc.