Why go
The myths give a different way to read Corfu's bays and sea passages. Stories link the island to the Phaeacians who welcomed Odysseus, the Argonauts fleeing a Colchian fleet, and Heracles. They belong to storytelling and place memory, so enjoy the landscape without treating a specific beach as an established archaeological location.
The full story
In the Odyssey, the Phaeacians receive the shipwrecked Odysseus, and Nausicaa, daughter of King Alcinous, meets him by the shore. Corfu has long been identified with their island, Scheria. Palaiokastritsa's bay is often named as the landing place, though the poem does not establish a modern map location. The same coast also lends itself to the Argonaut story: after taking the Golden Fleece, Jason's crew sought refuge from a pursuing Colchian fleet. Another tradition places Heracles on Corfu with the water nymph Melite before his famous labours; their son was Hyllus. These are separate mythic traditions, not episodes in a single verified history. They matter on a visit because the island's coves and position between shores make the ancient stories easy to imagine. Look at the geography first, then let the narratives add a layer to what you see.