I like every Green Day album except 21st Century Breakdown. Yes, that means I like American Idiot, and no, I'm not 14 years old. I actually think American Idiot is a fantastic album.
This is coming from someone who usually enjoys indie music. Two of my favorite bands are two of the most "sell-out"-y bands of all time.
I also like Bright Eyes. Yep. I said it. Again, I'm still not 14, if you were wondering.
American Idiot is actually a pretty solid album. Practically every song on it has been overplayed to death, it's about as punk as an Elton John single (no disrespect to him because he's awesome), and the band's aesthetic qualities around the time of its release helped usher in the awful "emo" fashion scene, but the music itself is good. 21st Century is a needlessly over-the-top album, but at least that trait offers up a little unintentional comedic value. Beyond that, though, I'm not a huge fan of the release. I'm surprised that your comment implies you enjoyed the trilogy (definitely one of the less popular opinions associated with them), but good on you for enjoying whatever you feel like enjoying.
As for Bright Eyes, as much as I don't like Conor Oberst's personality and, to a lesser extent, his voice, I will admit I'm Wide Awake, It's Morning is a great album.
Good lord, I don't think I could fit any more concessions in there if I tried.
And no, I'm not 14 either.