Ok, this is a pretty vague request so hopefully I'll be able to narrow it down by mentioning a few of my favourite artists and songs I like from others. Generally speaking, I'm pretty out of the loop when it comes to 'newer' music, especially from North America as I've lived in Scotland for 10 years and tend to mostly listen to older music that I own or classic ones. It's so pop-focused over here that it's doing my head in!
That being said, I would appreciate some more recent suggestions in the rock/hard rock/alternative genre - even if some might be 'popular' - as I may not have heard of it before. But I am looking for unique songs, rather than some where you could close your eyes, listen to a few, and they all sound the same. I've noticed at times when I've watched a 2012 rock countdown that many songs lack originality (for my own tastes).
So, here's a list of some of my favourites, and some songs that I like from a few artists:
Some of my all time favourite artists (some):
Faith No More, Nine Inch Nails, Red Hot Chili Peppers (older), Stone Temple Pilots, Pearl Jam, Metallica, AC/DC and Nirvana.
Songs from other artists I enjoy (within past 20 years):
Alient Ant Farm - Smooth Criminal
Tool - Sober
Linkin Park - In the End / Numb
Korn - Falling Away from Me
System of a Down - Chop Suey
My Chemical Romance - Welcome to the Black Parade
Godsmack - Voodoo
Marilyn Manson - Personal Jesus/Sweet Dreams/The Beautiful People
Rammstein - Du Hast
Sven Gali - Under the Influence
Offspring - Self-Esteem
Guns 'n Roses - You Could Be Mine
Smashing Pumpkins - Tonight Tonight and a few others
Muse - Time Is Running Out, Hysteria and a few others
Rage Against the Machine - Killing in the Name (update)
Evanescence - Bring Me To Life (update)
Some older classics:
Anvil - Metal on Metal
Motorhead - Ace of Spades
Crazy World of Arthur Brown - Fire
Blue Oyster Cult - Don't Fear the Reaper
T-Rex - Children of the Revolution
Led Zeppelin - Immigrant Song/Gallows Pole
There are plenty more but I think that's plenty for now to give you an idea.
I look forward to hearing some suggestions. Feel free to ask questions if it helps.