This is kind of difficult for me but I've got quite a few. I've never had a song make me full on cry but I've had several that got the eyes teary at one point or another
Smashing pumpkins: 1979 For Martha, Galapagos, Cupid De Locke, Try Try Try, Wound, Violet Rays, and One Diamond One Heart (what can I say? Billy Corgan just seems to have my number as far as sappy songs go)
My Chemical Romance: Summertime and The Kids from Yesterday, Famous Last Words, The World is Ugly and SING
Songs that give me goosebumps (but not necessarily tears) are Smashing Pumpkins: Geek USA, Tonight Tonight, Inkless, The Chimera, Zero, The Everlasting Gaze, The Celestials and Violet Rays.
My Chemical Romance: Planetary (Go!), Bulletproof Heart, Ambulance, Na Na Na, The only hope for me is you.
Wow...that's a lot
U.S. Peavey club member 168