Achillii, Greece offers 1 beach perfect for sunbathing, surfing, swimming, and more. Achillii, Ionian Islands, Greece, is known for the Achilleion Palace, a stunning neoclassical mansion built for Empress Elisabeth of Austria. The best time to travel to Achillii, Greece, is from late May to early October, with average air temperatures around 75°F (24°C) and water temperatures near 73°F (23°C). Sandee provides detailed maps, photos, and reviews from fellow beachgoers to help you Choose Your Beach™ and plan your perfect beach vacation!