Oh, crap. I think that if you stumbled while there, you'd fall into about 5 of them all at once. I've been suspecting that all of the Scandanavians, including Iceland, are all brought up with a very good and intensive music education. Don't know that for a fact though.
Off the top of my head and this will include some from other Scandanavian countries:
Hearts Of Black Science
Kent
Mew
The Early Days
Epo-555
Northern Portrait
Windermere
The White Birch
Douglas Heart (the band, not the man)
Antifilm
The Audreys
The Radio Dept.
LKWRM
Heaviness
Acid House Kings
Twigs
Mum
Celestial
Xero-Kline
Swoon
Stafrænn Hákon
The Flaming Sideburns