"With Or Without You". And depending on your mood, "New Year's Day".
Also, their "Sunday Bloody Sunday."
The Edge's solo performances of it on the Pop Mart tour. Just... oh God. * sniffle*
"Exit" is one of the darkest songs in the U2 catalog. The lyrics are incredibly brutal and cynical.
"Kite" and "Sometimes You Can't Make It On Your Own", both dealing with Bono's father.
Especially when they did it at the Slane show the week of the funeral. Oh god, that was heartbreaking.
It's possible to almost get through that song without tearing up. And then you hear Bono sing "Don't leave me here alone..."
"Mothers of the Disappeared".
"Mofo". Yeah, even the badass techno track. The lyrics may seem whiny but when you consider that it's about Bono's mother who died when he was just a teenager, they're absolutely heartbreaking, especially when you look at the lyrics from the perspective of a teenager.
"Bad" and "All I Want Is You".
Especially after you know that "Bad" is about a friend of Bono's who during the early 80s economic recession in Ireland got addicted to illegal drugs, and on his 21st birthday had a lethal dose of heroin injected into his bloodstream.
Its performance in the 1985 Live Aid concert is powerful not just because of the sheer emotion in the music. They're commemorating a fallen friend, while trying to help strangers in distant lands, and if some eyewitness accounts are to be believed, saving a young girl from death by suffocation in process. How awesome is that?
"Tomorrow" and, strangely enough, "Lemon" - both dealing with Bono's mother.
"Brothers in Arms" is inextricably tied up with this.
During the encore Bono sings "Amazing Grace" (with a 20K+ member audience) and then they transition to "Where the Streets Have No Name". Glorious.
"MLK" was lovely in itself, but then a crazy man named Bob Chilcott did a 6-part a cappella arrangement for The King's Singers which is far superior and downright chilling in its grandeur.
"Heartland", especially on the Rattle and Hum video.
"Moment Of Surrender". There's a reason it's been the closing song on all but one gig on the U2 360 tour.
At the Edmonton gig of the tour on June 1st, 2011, Bono had the lights killed for that song and made everyone hold up their lighters and illuminated cell phones, as just for the people who died in the Slave Lake fire just weeks earlier (the song was dedicated to them too). Not a single dry eye in the stadium.
Also a Tear Jerker for the band themselves. Bono did the studio version in one take because he "felt that he could not sing the lyrics a second time" and they didn't play it live until the 3rd leg of the Joshua Tree tour because Bono still didn't think he could make it through the song.
People surely fall to their knees upon hearing the extra verse of "One" sung in live concerts.
Also, from the Eno & Pavarotti concert, this rendition of the song — with Bono's vocals echoing over the haunting strings, can bring one to tears. It's so haunting.
"The Hands That Built America" or "Stuck in a Moment You Can't Get Out Of" are a couple more.
Although some would say that the final verse of "The Hands That Built America" is a tearjerker — for others, it's when Bono sings "Off all of the promises, is one we could keep. Of all of the dreams, is this one still out of reach" that can get them going with the waterworks.
"Stuck in a Moment" is more uplifting than sad... but "Walk On" can make a few people cry (specially when it's associated with 9/11).
"Stuck in a Moment" does become a tearjerker when you find out that Bono was inspired to write it after the suicide of his friend, INXS lead singer Michael Hutchence, and the regret he felt at not trying to talk him out of the idea.
There are also "Wake Up Dead Man", "Love Is Blindness", "40", "Gone", "One Step Closer", and "Unknown Caller".
"Cedars of Lebanon" and "White As Snow"
"Running to Stand Still"
"Stay (Far Away, So Close)". Not given enough credit. This might be the ultimate tear-jerker U2 song!
"Miss Sarajevo" by Passengers - otherwise known as U2 and Brian Eno (with Luciano Pavarotti as a guest, in this case). Although the original version is incredibly heartrending, the band's live versions of the song after the 7/7 bombings in 2005 are something special indeed.
"The First Time", especially the second verse:
I have a brother
When I'm a brother in need
I spend my whole time running
He spends his running after me
When I feel myself going down
I just call and he comes around
But for the first time
I feel love
"The Wanderer", the ending track of Zooropa. The late Johnny Cash on lead vocals, singing about a man wandering a post-apocalyptic world.