Cape Runaway, New Zealand offers 1 beach perfect for sunbathing, surfing, swimming, and more. Cape Runaway, Bay of Plenty, New Zealand, is known for its stunning coastal scenery and proximity to the East Cape Lighthouse. The best time to travel to Cape Runaway, New Zealand, is during the summer months of December to February, when the average air temperature is around 20-25°C (68-77°F) and the water temperature is approximately 20°C (68°F). Sandee provides detailed maps, photos, and reviews from fellow beachgoers to help you Choose Your Beach™ and plan your perfect beach vacation!