Green Day/Tear Jerker

For being a punk rock band, this band is no stranger to writing songs that can make you cry.

The heartwarming "Good Riddance (Time Of Your Life)" can break even the most macho of men when played at funerals.
- In spite of the title, there is nothing ironic about the song. It is bittersweet. It describes a relationship that has had its ups and downs, and now its time for both to move on - but it explicitly says that it was a relationship worth having!
"Boulevard of Broken Dreams" is another one.
Or "Wake Me Up When September Ends", considering the fact that this song is about his father, who died when Billie Joe was just 10 years old.
Then there is the American Idiot outro, "Whatsername".
"Before the Lobotomy", anyone?
"Give Me Novacaine". Just the premise of feeling so hopeless that actually feeling nothing at all seems like the better option, combined with how much purer Billie Joe's voice sounds on the track makes it one of the most moving songs on the album.
Anyone who has really listened to the Twenty First Century Breakdown opener "Song of the Century" by itself should have to compose themselves at the mention of the title.
Their cover of "The Saints Are Coming" with U2. Oh God.
"Homecoming" can also trigger the tears.
In the right state of mind, "21 Guns" has this effect.
"Macy's Day Parade" is a song that can make some people cry, no matter how many times they listen to it.