Awesome Music: All of Clarity, but especially "For Me This Is Heaven" and "Goodbye Sky Harbor".
"Nothing Wrong" from Futures.
Canon Discontinuity: Their first self-titled album. The few who have actually heard it would agree it's not as good as everything they released afterward.
Ear Worm: It just takes some time, little girl you're in the middle of the ride...
Epic Riff: "The Middle, "My Best Theory", "Sweetness", and the drum intro to "Lucky Denver Mint"
Ending Fatigue: The ending to "Goodbye Sky Harbor" is an ambient, trippy mix of layered vocals, glockenspiel (yes!) and processed drums that goes on for, oh, about ten minutes after the rest of the song is over. That doesn't mean most fans don't think it's awesome, though.
Moment of Awesome: The album Bleed American was entirely self-funded by the band while they were in between recording contracts. It ended up being their biggest hit.
It's Popular, Now It Sucks: Some hardcore emo fans resent the band for becoming a smash with Bleed American.
Tear Jerker: "Hear You Me" which was written about two girls in the Weezer fanclub who died in a car accident.