As a genre, country and choral music does it.
Specifically, "I'm Already There (Letters from Home)" by Lonestar destroys me every time. I served in the USMC and now my wife and daughters are in New England while I'm here in South Florida because of my job and the job situation (or lack of one) up north.
"The Love of a Friend" I performed this with my HS choir at my graduation.
"An American Elegy" by Frank Ticheli. A band piece written for Columbine HS after the shootings, it is a beautiful piece that I pour so much of myself into the playing every time I play it (as in perform), I just break down.
I've found that more music tears me up quicker now that I've accepted myself as the feminine person I am, than ever did before. Though these three have always done it.