Came across this lengthy and partially excellent list of songs that make you cry.
Interestingly, the emotions music brings to you are best described by the physical reaction you get, e.g. crying, goosebumps, and that strange energized, unsettled state that is best simply called "funky". Music is a very immediate, physical thing. In contrast, "states of mind" seem better adapted to describe the consequences in storytelling (including our personal story) - e.g. somebody dies, it makes you sad. This is a very different type of description of emotion, much less physical.
Hanson 'Weird'
Pure pop, but so honest. Seriously weepier than the Thom Yorke or Morrissey at their most suicidal. For me, anyway.
Four Seasons In One Day
by Crowded House makes me cry.
and
With or Without You
by U2