Upsilon Acrux. If you were to convert the most technical bands (Necrophagist, Viraemia, etc.) to progressive rock, this band would be the result.

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Last.fm: Mercenarion

King Crimson, Pink Floyd, Death In June (the neofolk group), Christopher Franke and Klaus Schulze are probably my favourite non-metal artists off of the top of my head.

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SONIC YOUTH
EARTH
BORIS
MERZBOW
CLANDY FLIP
OPUS

1)Avril Lavigne
2)SUM 41
3)Luke
4)Gerard de Palmas
5)Placebo
6)Muse
7)RadioHead
8)Red Hot Chili Peppers
9)Massive Attack
10)Moby

Placebo definitely.

Also, I like Jack White and his bands a lot.
edit: Forgot to mention Eminem, I'm into his music since my early teenage years. 

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Failure I cannot fix, false hope for Nothing
This is the life I lead and tomorrow will not change
(c) Novembers Doom

1) Weezer
2) Nada Surf
3) Green Day
4) Gorillaz
5) The Offsprings

Paramore, Green Day, Fall Out Boy, All American Rejects, Nox Arcana, Midnight Syndicate, Blood Industrial, John Mayer, Avril Lavigne, The Veronicas, Counting Crows, and a few others I can't remember.

1) Panic at the Disco

Blondie!

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The Strokes and Blankass.