Icelandair via DealBase offers 1-way flights to Iceland, with prices starting from $198.70. That's the lowest price we could find for select routes by $158. Book this travel deal by June 11 for travel from August 1 through October 26. Buy Now Tips On the DealBase landing page, click on "Iceland Air" in the top line to see this sale. We found this price on flights departing on August 17 from New York, NY (JFK) to Reykjavik, Iceland (KEF). All prices, dates, and booking details were valid at the time of publication.