Old green day was good, Dookie etc...
it's american idiot that sucks and such.
I listen to...(in no particular order)
Aerosmith
Muse
Apocalyptica
Nightwish*
AC/DC
Kamelot
The Killers
Within Temptation
Epica
Metallica (old stuff, pre-rehab and napster)
Ozzy Osbourne
Radiohead*
Avenged Sevenfold
Smashing Pumpkins
Franz Ferdinand*
Nine Inch Nails
SOAD
Serj Tanakian
Perl Jam
Stone Temple Pilots
Pink Floyd
Modest Mouse*
Rhapsody*
In Flames*
Prodigy
Pendulum
Sabrepulse
Breakbeat Heartbeat
Falco Lombardi
YMCK
some of these I only get on my pandora radio stations (the ones marked with *) and I probably missed a few from the stations, but you get the general idea. I'm a fan of symphonic metal, straight metal, a little drum n' bass, chiptunes and alt-rock, alt-rock being my favorite and Muse being my favorite band.
About rap sucking, it's all sampled sound effects put together on a mixer (granted DnB is usually sampled/DJ'd, but there's typically some form of melody you can follow, much like dance music, rather than just drums and whistles and the occasional 'OH!'), with someone just talking about random crap, usually abusing profanities and racial slurs. and most of the time they're just 'rapping' about the most pointless shit, and/or just stringing together nigger nigger pimp ho's ass nigger fuck fuck nigger fuck. They're also enabling the black stereotype, and I really dislike stereotypes. In all, I consider rap shit, just like country, and would rather do without music than listen to it.