Day 1-2: Bangkok (Laem Chabang), Thailand

Embark your ship and settle into your stateroom. Often called the “City of Angels,” Bangkok is Thailand’s largest and most populous city. A sprawling and heady mix of modern skyscrapers, floating markets and longtail boats skimming the Chao Phraya River, the scintillating capital of old Siam engages all the senses. Yet it all seems devoutly grounded by the presence of its revered gildedwats, or temples. Wat Arun, in particular, can be seen from all corners of the city. This majestic riverside “Temple of Dawn” catches the first light of each day like a pearl, casting a soft glow on one of Asia’s most remarkable cities.

Day 3: Koh Samui (Nathon), Thailand

Koh Samui is Thailand’s second-largest island after Phuket and a paradise of swaying palms and scenic beaches. Sun-loving beachcombers from Thailand and beyond come to the island to wade, swim and lounge in the lapping tides. Until the early 1970s, this self-sufficient community had no roadways; crossing the island required a full-day trek across nine miles of mountainous jungle. Today, Koh Samui retains the slower pace of simpler times. The cherished traditions of old Siamese fishing villages, too, are preserved as tiny boats gently bob on turquoise waters.

Day 4: Scenic Sailing: Gulf of Thailand

Day 5: Scenic Sailing: Strait pf Malacca

Day 6: Kuala Lumpur (Port Klang), Malaysia

The capital of Malaysia, Kuala Lumpur was built by Chinese tin prospectors in the mid-1800s. Since then, the city of KL, as the locals call it, has grown into a stunning mix of colonial, Moorish, Tudor, neo-Gothic and Grecian-Spanish architecture. The two-story shophouses of Old Market Square, with storefronts below and residences above, reveal the lives of merchants. The magnificent Petronas Towers are the centerpiece of this fascinating city; the side-by-side twin spires resemble a pair of rockets, connected by a two-story sky bridge that spans the 41st and 42nd floors.

Day 7-8: Singapore

Singapore is the world’s only island city-state. Established in 1819 for the East India Company by Sir Stamford Raffles, after whom the famed hotel is named, it grew from a secluded backwater into a shabby port city before transforming itself into a sophisticated metropolis. The technology and economy are highly advanced here, yet the islands host plentiful green parks with tree-lined footpaths and the stunning National Orchid Garden. For a panoramic view of it all, the observation deck of the Marina Bay Sands towers offers the perfect solution.

Day 9: Sail the Java Sea

Day 10: Java (Semarang), Indonesia

Java is Indonesia’s repository of history and island culture. The bustling port of Semarang was founded by the Dutch and hints of the island’s colonial past dot the cityscape. Outside the city, Borobudur, the largest Buddhist monument in the world, strikes a dramatic pose against a backdrop of four volcanoes. A popular place of pilgrimage and a UNESCO World Heritage Site, the massive pyramidal temple towers to a great height. The devout walk up a clockwise path to the pinnacle, passing 2,672 reliefs and 504 Buddha statues along the way.

Day 11: Java (Surabaya), Indonesia

Surabaya played a central role in the Indonesian War of Independence. The memorials to that struggle stand as soaring testaments to the will and courage of the Javanese. Today, Surabaya is a diverse patchwork of vibrant cultures. Mosques stand proudly in the Arab district and elegant churches adorn the European quarter. But perhaps the most authentic way to fully experience Java’s varied cultural influences is by tasting them. A stroll through the Pasar Pabean traditional market reveals fresh fish, vegetables, spices, incense and countless other specialties.

Day 11-13: Bali (Benoa), Indonesia

With a thriving arts scene, lush beauty and magnificent seaside vistas, Bali has long beckoned travelers in search of ultimate beauty. The island’s rich Hindu culture has forever held that gods live in all things natural—from mountains to streams to pebbles on the beach—lending the island a peaceful air. Denpasar is the island’s thriving capital. Founded as a market town, it still bustles with colorful stalls and vast emporiums selling bright sarongs and intricately patterned batik.