Broken Base: Sort of a minor and strange version. When they released the pro-union song "Take 'Em Down", some fans said they didn't like the band's new "political direction". Other fans however, not only embraced the song but let the angry fans go.
Covered Up: "I'm Shipping Up to Boston" and "Gonna Be A Blackout Tonight" are Woody Guthrie songs. Both are an interest example of this because Guthrie never recorded either song! (he left behind dozens of unrecorded songs, and many of them had already appeared on Wilco and Billy Bragg's Mermaid Avenue albums in the early 2000's)
Crowning Music of Awesome: Several, including - but not limited to - "Flannigan's Ball", "Echoes on 'A' Street", "God Willing", and, of course, "I'm Shipping up to Boston".
Ear Worm: Echoes on 'A' Street has the elongated line, "Shannon, i'm comming hooooooooooooooooooooooooooooome!" It is sang five times during the song.
The chorus of "God Willing"
Face of the Band: Ken Casey, the bassist. Sort of odd, but considering he's the sole original member...
Growing the Beard: sometime after Al Barr became the vocalist the band started to blend their genres better, and got a bit more complex musically. Blackout seems to be the point most people pick.
Tear Jerker: Several songs, most notably their version of Eric Bogle's "No Man's Land" (titled "The Green Fields of France"), recorded in an uncharacteristic acoustic style.
"The Last Letter Home"
"Fairmount Hill"
"Vices and Virtues," a song about four brothers and how they met their ends, has a few. Particularly the line, "And another died by a bullet at the hands of a sniper's gun/In the valley of Nha-Trang for a war we never won."
Fields of Athenry is a strange example, as the angry tone doesn't seem like it has the makings of a sad song. But the subject matter, the anthem-esque tone of the music and the sorrowfulness of the narrator makes it work.
The acoustic version, on the other hand, fits this trope perfectly.