Archive Panic: They don't have that much officially released material, but if you want to start going through all the live recordings of them that are available (which is recommended since they tend to début new songs in live performances years before they're given official releases), good luck. This also applies if you want to start exploring the band's side projects. A Silver Mt. Zion alone will more than double the amount of recorded output you'll have to explore, and that's if you merely stick to official releases.
Awesome Music: All of it. However, each album has one or two tracks that stand out even above the band's usual high quality:
F♯ A♯ ∞ - "Providence".
Slow Riot for New Zerø Kanada - Both of them. There's a good reason this is the highest rated EP on RYM.
Lift Your Skinny Fists Like Antennas to Heaven - "Sleep".
Yanqui U.X.O. - "Motherfucker=Redeemer".
'Allelujah! Don't Bend! Ascend! - "Mladic".
'Asunder, Sweet and Other Distress' - "Piss Crowns Are Trebled".
Broken Base: 'Asunder, Sweet and Other Distress' is shaping up to be this with some fans calling it one of their better albums and other fans calling it one of their worst.
Creator Worship: Without a doubt the single most revered band in post-rock.
Epic Riff: "The Dead Flag Blues" motif, repeated at the beginning of "East Hastings" as well.
"Mladic" has an extremely heavy, almost stoner metal-esque guitar riff that gets faster and more intense as the song continues.
The riff that underpins "Dead Metheny" is incredibly catchy (and in 7/4 to boot).
"Motherfucker=Redeemer" has a few examples; a particularly good one is the one that gets the second track of the song going (it's also in 7/4).
Face of the Band: Even though he's not the frontman in the traditional sense (and has repeatedly disclaimed the r¸ole), Efrim Menuck is the member that seems to get the most recognition. It's no doubt a contributing factor that he's been by far the member who has interacted most with the press.
With a little Old Shame thrown in. Although without hearing it, it's impossible to say if they re-worked any of it.
Fridge Logic: In the midst of his interview, Blaise Bailey Finnegan III repeats a story in which he apparently said "I don't repeat myself for nobody" to a judge. Come again?
Mainstream Obscurity: Godspeed You! Black Emperor are the darlings of critics everywhere, but very few outside the fanbase have ever heard of them.
Pop-Culture Isolation: They're monstrously influential in the world of post-rock, but again, almost no one outside that community even knows they exist.
Memetic Mutation: Multiple instances, primarily relating to the samples the band use.
"The car's on fire, and there's no driver at the wheel..."
"They don't sleep anymore on the beach."
Everything Blaise Bailey Finnegan III says.
Photoshopping ANYTHING into the cover of Lift Your Skinny Fists for some.
"I WANT TO BELIEVE seems to be a motto by fans who wish for one day to hear All Lights Fucked On the Hairy Amp Drooling.
Never Live It Down: Not the band, but the fan base: It's pretty unlikely anybody will let others forget that they drove someone from almost giving them the infamous All Lights Fucked On the Hairy Amp Drooling away from Reddit.
Moment of Awesome: Blaise Bailey Finnegan III's rant at a judge is this for many fans: "You think you're God because you have a robe and you can put people up the goddamn river for twenty years? Well, you're not!" Of course, for others it may verge into Narm.
The issue of the man's "poem" actually being mostly lyrics ripped off from the bandIron Maiden is also a bit divisive, since it makes one question whether this story is even true.