Surpassed only by Manila in size, the Philippines’ second city combines colonial architecture and mountainous surrounds with a burgeoning cultural and culinary scene. As the gateway to both Bohol and Cebu Island, Cebu City impresses with chic rooftop bars and intriguing museums.

New Delhi is all at once chaotic and calm, a complicated city where cows often wander the shanty-lined streets. The 17th century Red Fort is a mass of domes and turrets, while Chandni Chowk is an exercise in friendly haggling. Jantar Mantar features larger-than-life sundials and astronomical instruments that are still used to predict the weather. Travelers and locals flock to the India Gate, the national monument of India that honors the soldiers who died in World War I and the Third Afghan War.