Corfu, Kerkyra in Greek, doesn't feel like the rest of Greece, and that's the whole point. The Venetians ruled it for four centuries, from 1386 to 1797, and the Ottomans, who took everything around it, besieged the town several times and never got in. Then came the French, who built the Liston arcades in the style of Paris, a short-lived Septinsular Republic with its capital here, the first self-governing Greek state of modern times, and the British, who ran the Ionian Islands as a protectorate until 1864 and left behind cricket on the main square, ginger beer and a palace. The old town is a UNESCO World Heritage Site, and it looks more like Venice or Genoa than anywhere in Greece.
For Serbian readers, it's also something else: the island where the Serbian army came back to life in 1916, after its retreat across the mountains of Albania, and where thousands of soldiers were buried at sea. That story is part of this plan, on day three, along with the Serbian House museum in town.
The plan keeps you based in Corfu Town. Day one is the Liston, St. Spyridon and the Old Fortress, day two the palace, the Gorgon of the Archaeological Museum and Mon Repos, day three Serbian Corfu, the Jewish quarter and the New Fortress, day four a trip to Paleokastritsa and Angelokastro, and day five the Achilleion and a last sunset over the west coast. Corfu is the most Italian corner of Greece, and the best introduction to the Ionian Islands.
It also works as a beach holiday. Days four and five each get a swim, and the stay section and the tip on beaches show which coast to base yourself on: stay on the west coast or the northeast for the sea and use days one to three as town excursions by bus.