Looking for a flight from Washington IAD to Madrid MAD so you can experience a bit of what the world has to offer? Take advantage of our cheap plane tickets to Madrid by saying goodbye to the Nation's Capital and saying hello to The City of Gaudi! And when you book with Icelandair, why not give your trip that added perk with a stopover in Iceland? You'll finally have the chance to encounter the northern lights in Iceland when you select your own Iceland vacation package. Plus, when you visit Iceland with a stopover of up to seven nights, you can experience everything from the Blue Lagoon, the Iceland hot springs, the midnight sun if you find yourself on a summertime vacation in Iceland, and of course the not-to-be-missed Iceland Golden Circle tour.