"Bliss". The arpeggios are epic, and the music video is definitely a trip. Maybe not as good as "Citizen Erased" but still worth a mention.
"Hyper Music". YOU KNOW THAT I DON'T LOVE YOU, AND I NEVER DIIIIID...along with kickass riffs early on, and bass that is like an earthquake delivered direct to the eardrums.
"Micro Cuts" has an almost classical feel to it (due to having a similar chord progression to Beethoven's Moonlight Sonata). Matt's vocals are inhuman in addition to the eerie feel of the chorus.
Probably the most atmospheric piece of music that Muse have ever recorded, with the ethereal guitars and the ghostly vocals. That would have been enough, but then, 30 seconds from the end, the guitar speeds up with a heavy riff and the song explodes. Quite possibly the single best thing Muse will ever do.
"Butterflies and Hurricanes". (Live version on HAARP is just as, if not, better.) This song would make a damn good Theme Music Power-Up:
Change everything you are
And everything you were
Your number has been called
Fights and battles have begun
Revenge will surely come
Yeah, hard times are ahead
They play this on the Sci Fi Channel in Taiwan for one of the commercials and it is epic. It does, however, after you hear it for the third time in one day begin to sound like they are summoning some kinda Eldritch Abomination. Mumbling, singing and yelling at the same time? Awesome.
Appears as the main theme of Need for Speed: Most Wanted 2012. A huge accomplishment for them.
"Eternally Missed" is the little-known B-side to "Hysteria". It is also quite possibly the finest piece of music Muse has ever recorded.
"Fury". Just "Fury". AND WE'LL PRAAAAAAAAAY THAT THEEEEEEERE'S NO GOOOOOOOD TO PUUUUUUNISH UUUUUUUS AND MAAAAAAAKE A FUUUUUUUSS!
"The Groove" (b-side for the "Time is Running Out" single). It starts out with one of the weirdest guitar solo's Matt's ever done then at 0:19 the bass kicks in and you realize that the song is more than aptly titled.
Listen to this. That noise you're hearing? Yeah, that's your brain exploding. Well, that or "MK Ultra".
"Unnatural Selection". Badass organ intro into a thumping guitar riff... slows down a bit in the middle... then back to the guitars. Capital stuff.
"Undisclosed Desires". Been in love with this song for going on two years now...
The 2nd Law
Chances are you'll find their theme for the London 2012 Olympics "Survival" head-explodingly epic. (Though it may take a few listens to love it.)
Taking a few listens to love it seems to be becoming a trend with the songs from The 2nd Law, as its trailer split the fanbase. The first single from the album, "Madness", is what might happen if 80s-era Queen were sent forward in time and tried out EDM! Combine the smooth beat and epic buildup with the soaring vocals at the end and you've got a great song.
And the base-breaking song itself, "Unsustainable". The reaction to the Dubstep influences in this song has been incredibly split, but the fact that the band are making those sounds with their normal instruments at least deserves a mention.
The band recently allowed people to listen to it for free on various websites (such has The Guardian for UK listeners). "Panic Station" instantly jumps out as being funk-inspired brilliant awesomeness.
"Follow Me", a dubstep-symphonic rock hybrid written in dedication to Matthew Bellamy's newborn son, is the first major foray by Muse into music dominated by electronic elements and is EXTREMELY AWESOME.
"Supremacy". Everybody says it goes well with James Bond. It shows.
"Save Me". Chris Wolstenholme's debut as singer and songwriter couldn't be more beautifully amazing.
Yes, "Neutron Star Collision (Love Is Forever)" is stuck in the Twilight ghetto. This is a shame, because it is RIDICULOUSLY EPIC.