Many of you may already be familiar with Sigur Rós; they are an Icelandic band who make music unlike anything else - slightly surreal, yet utterly unpretentious. It's wavy, dreamy, and floaty, but not in a shallow or new age kind of way. They are like an Icelandic Radiohead that has found inner peace. You may or may not like it, but it is definitely worth a listen to find out. I prefer to listen to it 1) while working late at night 2) while trying to sleep in a noisy area 3) while riding public transportation or driving at night and 4) while whacked out of my mind on Oxycodone (joking!)
Thankfully, since Sigur Rós is an enlightened group (a trait I imagine common to Icelanders - well, at least since they got over that whole Nordic pillaging thing), they have made much of their music available for free online. This is the band's download page.
Songs I would suggest starting with: