Modriki (Manu Riki) Island

Where the Tom Hanks movie Cast Away was filmed.

From www.fiji-island.com:

The Mamanuca Islands are clearly visible off the coast of Nadi International Airport. The stunning beauty and close proximity of the island group with its handsome scattering of tiny coral atolls and small volcanic islands all within view of each other make this the most popular holiday resort destination, a fantastic sailing destination and the busiest day cruise destination. Although not overly commercial (the largest resort has only 150 rooms), these islands are beautiful rather than enchanting. Yours will not be the only footprints in the sand and the friendly Fijian hosts are all perfectly trained in tourist hospitality. Ironically, it was on one of these islands (Modriki) that the film Castaway starring Tom Hanks was filmed, adding to the frenzied attractions of the day cruise itineraries.