Another good one is Black Holes and Revelations (2006). This cd includes one of my all time favorite songs EVER, Map Of The Problematique. It's epic, it's passionate, I love the melody, and you can dance to it (well, I can anyway.) If they don't do this song at the show I'm going to be VERY disappointed. Other great tracks are Supermassive Black Hole and Soldier's Poem (which has a melody that sounds mysteriously like Elvis Presley's Can't Help Falling In Love, at least to me.)
The Resistance (2009). This one also includes another huge favorite of mine, Undisclosed Desires. So pretty and takes me back to the summer of 2011. I'm actually hoping (but just a little) that they WON'T do this song...I think it might make me cry...but maybe it won't. Another great track on this album is United States of Eurasia, another epic sounding piece that sounds very much like something Queen would have done back in the day.
Although we don't have their latest release (The 2nd Law), I picked it up this past weekend and will share my thoughts: I had read mixed reviews, and I can see why some fans are disappointed with this one. After my first listen I wasn't sure either. The thing I noticed is that the guitars seem to be missing, and there's definitely more of an emphasis on the electronics/synthesizers. It's growing on me, though.
If you're a fan of Queen and U2, give Muse a try. They're my current favorite "new" band, displacing Stereophonics (sorry, Kelly Jones!) A coworker who saw Muse play at KFMA day in 2010 says they were fabulous live. When I told her about the show coming up in Phoenix she immediately said she would definitely see them again. My friends and I are really amped for this show!