Centuries of visitors and rulers—among them, Italians, Brits, and Turks—have felt the urge to claim this alluring Greek island for their own. It’s the farthest north of the seven Ionian islands and the greenest, with countless olive groves. And although the Ionian Islands (minus Corfu) made the World’s Best list for three years between 2004 and 2006, Corfu itself has never broken into the top 5. What’s changed? An improved score in the activities and sites category helped lift the destination’s rank in 2011.