The fact of the matter is this, the band made one of the greatest albums of all time, Clarity.
Say what you want about these guys, since then they've put nothing but good albums out and never disappoint their fans, and that's saying a lot when so many other groups fail to "step it up" album by album (I'm looking at you, Interpol!). Each album since (Selftitled or Bleed American if you want to be hardcore JEW fan, Futures, Chase This Light [Admittedly, probably their weakest], and Invented) all lack tracks worth skipping.
Furthermore they are a completely functional band that do their music great justice. They might not have a lot of stage charisma or presence, a very dynamic show of lights/effects, or a wacky band image, whatever, they play good music. They are an old classic "shut up and play" live band and cream of the crop for whatever you'd call their poppy subgenre.
Now I don't know how to embed videos, but here's a video anyways.