Grad Stari Grad, Croatia offers 5 beaches perfect for sunbathing, surfing, swimming, and more. Grad Stari Grad, Dalmatia, Croatia, is known for the UNESCO World Heritage Site of Stari Grad Plain and its ancient Greek and Roman history. The best time to travel to Grad Stari Grad, Croatia, is from May to September, with average air temperatures ranging from 70-85°F (21-29°C) and water temperatures around 70-77°F (21-25°C). Sandee provides detailed maps, photos, and reviews from fellow beachgoers to help you Choose Your Beach™ and plan your perfect beach vacation!