WOW air is only from the USA to Iceland. Uk to Iceland you need to use Icelandair or easyjet. Bike and one bag Edinburgh to Keflavik (Reykjavik) about £80.
@ldhbaker: I agree with you on that. Reykjavik COSTCO and IKEA plus some gas station sandwiches are reasonable for some food. Go to a nice place to eat and you will really pay for it.
No its rubbish. Don't go. Its far too expensive. Rains constantly. People are horrible. Even the land spits at you. Hateful place. Go anywhere else. Hope that puts everyone else off. Can't stand a crowd. ;-)