Sigur Ros - What can I say, I love this band. They are so cool in many different ways. Their words make no sense, but the emotion and the feeling is conveyed even without it. If you like kinda ambient stuff with a touch of the dramatic, I'd suggest this Icelandic band Anyone else like them?
Oh hell yes, great music to chill out to. Apparently they say they sing in "Hopelandic" haha. Awesome band.
Pretty damn hard to describe. Ambient? Experimental? You have to listen to them to get it... Check out allmusic.com for more info.