Nessebur, Bulgaria offers 5 beaches perfect for sunbathing, surfing, swimming, and more. Nessebur, Burgas, Bulgaria, is known for its UNESCO World Heritage Site, the Ancient City of Nessebar. The best time to travel to Nessebur, Bulgaria, is from June to September, with average air temperatures around 25°C (77°F) and water temperatures around 23°C (73°F). Sandee provides detailed maps, photos, and reviews from fellow beachgoers to help you Choose Your Beach™ and plan your perfect beach vacation!