All of these islands lie in the Southern Ocean surrounding Antarctica.   Although the official Southern Ocean lies below 65 degrees south latitude,most people would delineate it by connecting the southern tips of South America, Africa, Australia, and Tasmania. Anyway, pack ice often strays into the fifties during the Southern Hemisphere winter, and our list will cover islands quite a bit north of there.  This list, then, will overlap somewhat with the lists of Atlantic Ocean Islands, Pacific Ocean Islands, and Indian Ocean Islands.

All of the islands below lie along the Antarctic coast.  The South Shetlands are also coastal. The Great Geographic Atlas, Rand McNally, 1982 rev. 1989
http://www.air-and-space.com/~brianl/200101 Antarctica/map-antarctic-peninsulaa.html