Putting in those bands without mentioning any of the classic counterculture bands is to tempt fate...WITH ME
I know you don't like classic rock very much mcr mad, but still. Half of those I don't really consider rock (thats just by my harsh standards).
My Chemical Romance is emo/really dark pop. There's no difference in the two. I don't consider emo or commercial pop rock music.
Fall out Boy belongs in the same category as My Chemical Romance. Basically, if any of the musicians in these bands met with musicians from the 60's-early 90's, they would be put to shame in terms of musical skill, creativity, composition, and soul.
Green Day is post-grunge pop. I admit in their earlier years they were alright. Then, they became more and more pop. American Idiot is the best example of this pop-ish direction. Although they do occasionally do covers of really good songs.
Guns n' Roses is the first true hard rock band on that list. Slash, Izzy Stradlin, Steven Adler, all of them are competent musicians (especially Slash). Appetite for Destruction as also the definitive late 80's rock album.
Muse is alternative. Sometime's they are rockish, other times not. Most of the time they are. Absolution was a pretty good rock album by modern standards, and so was Black Holes and Revalations. Also, the musicians have respectable talent.
I'm not gonna go on because it would take too long. However, my favorite rock band is the timeless Led Zeppelin.
