Getting to Reykjavik
Reykjavik is probably closer than you think. Flight time is only 2-4 hours from Europe and 5-6 hours from east coast USA. It is possible to get to Iceland by sea as well.
By Air
Icelandair has a regular schedule of daily non-stop flights to Iceland from many major European and North American cities.
Iceland Express connects Iceland on a daily basis with Copenhagen, London (via Gatwick) and other destinations in Europe.
Scandinavian Airlines
Flybus - Reykjavik Excursions