Of the bands you have listed here I like:
Korn, Thrice, Red Hot Chili Peppers, A Perfect Circle, Nine Inch Nails, Linkin Park (their old stuff, I think the new releases are shit), Incubus, Breaking Benjamin, Green Day, Velvet Revolver, HIM.
Others that I like:
Three Days Grace, Coheed and Cambria, Black Veil Brides(I honestly did not see that coming O.O), Within Temptation, Sonata Artica, Kamelot, Ill Nino, Hoobastank, Abney Park, Adema
Atreyu (Old stuff), Apocalyptica, Atrum Artifex, Psyclon Nine, The Prodigy, The Divine Madness, Enigma, Dream Theater, Gorillaz, Great Northern
How to Destroy Angels (to my knowledge they only have to songs released but they're pretty good), Nine Inch Nails, The Mars Volta, Our Lady Peace, P.O.D. Shakira (older stuff), Yeah Yeah Yeahs