A mere five miles from the Turkish coast, this Greek island in the Aegean Sea is famous for the quality of its exports, which include mastic, olives, figs and wine. Khyos contains a wealth of historical sites, including an Ottoman-period castle and a UNESCO World Heritage Site, Nea Moni, which is an 11th-century monastery built with funds donated by Constantine IX. One might also take a walk through time, exploring archaeological sites that go as far back as the Neolithic age, and continue through the Hellenistic, Roman and Ottoman ages.