Flying in
The Icelandic transatlantic airline company Icelandair is operating regular flights all the year around from / to Iceland between USA and major European cities: http://www.icelandair.com
The other Icelandic company Iceland Express, operates regular direct flights schedule between Iceland and European cities: London Standsted, Paris CDG, Barcelona, Alicante, Bologna, Geneva, Basel, Frankfurt, Eindoven, Berlin, Rotterdam, Copenhagen, Oslo... http://icelandexpress.com