Hey, what about "One More Minute," Weird Al's spoof of tear-jerkers -- sometimes I spew tears from laughing too hard, and it's especially funny to see him perform it. As for my real choices, I have to admit that the following have brought tears on occasion:
Cat Stevens: "Oh Very Young," and "Father and Son," and a few others.
Karla Bonoff: "Falling Star," and "Lose Again" (late 70s)
Lately, Tull's "Too Old to Rock & Roll/Too Young to Die," hits a soft spot; and of course I just can't stop the floodgates whenever I hear Ted Nugent's tender love ballad, "Wango Tango". :)