The Beach House, Bassetts Island, Pocasset, Cape Cod, Massachusetts, US. This contemporary house is one of seven properties on the island. It has a central wood-burning stove. 4 beds, 3 baths, 2 receps, gardens, dock, SteigerCraft boat, 3.1 acres. $1.49m Robert Paul Properties +1 508-274 1933.
Nananu-i-cake Island, Fiji. An island a short boat ride off the northern coast of Viti Levu Fiji, with around 600 acres of tropical vegetation. Main house: 4 en suite beds, 2 guest suites, open-plan living/dining room, library, swimming pool, staff quarters, stables, paddocks. Deep-water jetty and 5 beaches. $12m Knight Frank + 64 9 377 3700.
Halls Pond Cay, Exumas island chain, Bahamas. A private island in the Exumas island chain, 60 miles from Nassau. It has 12 white-sand beaches. It is a natural deep-water access channel. 460 acres. $62m Vladi Private Islands +49 40 33 89 89.
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Kaulbach Island, Indian Point, Nova Scotia, Canada. A private island a short boat ride from the mainland with a house and range of outbuildings, including a beach cottage and boathouse. Main house: 11 beds, 7 baths. Farmhouse. Deep-water anchorage, gardens, 57 acres. £5m+ Tradewinds +1 902 275 5613.
Makri Island, Echinades Islands, Kefalonia, Greece. A private island in the Ionian Sea, close to mainland Greece. It has a natural harbour, forests and beaches and planning permission for a mixed use resort development of a 5-star hotel and luxury villas. 246 acres. €13.5m Savills +30 210 6996 311.
Plaisance, Sark, Channel Islands. A granite house close to the village. It has a 2-bed cottage and 4-bed log house in the grounds. 7 beds, 4 baths, 3 receps, breakfast kitchen, secondary kitchen, workshop, pool house, heated pool, gardens. £2.95m+ Strutt & Parker 020-7629 7282.
Island Grnholmen, Stockholm, Sweden. A small private island in a northern Swedish archipelago, ten minutes by boat from the mainland. The 1960s house has a covered deck and outdoor shower, wood floors and an indoor and outdoor fireplace. 4 beds, bath, open-plan living area/kitchen, boat dock, 2 acres. £540,800 Engel & Vlkers +46 (0)8 400 285 50.
Isle of Tanera Mr, Summer Isles, Scotland. A private island off Scotland's north-west coast. It has a private post office that issues Summer Isles stamps, a cafe and a tourism business with potential for expansion. 2 x 4-bed houses, 5 x 3-bed houses, 2 x 2-bed cottages, 800 acres. £1.95m+ Savills 0131-247 3720.
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