I like them, but for some reason, a lot of my friends don't. They don't give any reasons for not liking the band, but I can't really give any reasons for liking the band, either.
I really like a lot of their music. The instrumentalists are good and the music is well written, but the singer's voice bothers me. I just don't like the timbre of the sound, it's really grating.
Decent musicians doing cool stuff with the instruments at hand, good use of effects to make it more awesome, accompanied by great vocal work by Bellamy.
Muse is amazing XD Pretty much all of their album Showbiz was awesome. I haven't heard all the songs on Absolution, but the songs that I have heard are all awesome, too. I should work on getting that one ~_~'
Personally, I'm disappointed in the list; some of my Muse favorites are not included when they deserved to be on there, such as Citizen Erased and Hysteria.
I think Hysteria is a bit overrated, though I would pick it or Citizen Erased ahead of Supermassive Black Hole (though maybe that's just because of how overplayed that song was). I'd replace Cave with Feeling Good, and maybe Uprising with Exo-Politics or City of Delusion, but the rest is about right.