Monte-Carlo is home to the celebrated Monte Carlo Casino. This glamorous palace is full of frescoes, sculptures, and features an astonishing gold and marble atrium—not to mention the main attraction—gambling! Steeped in 700 years of Grimaldi royal history, Monte-Carlo’s location is stunning, tucked between French mediaeval villages and the Alps. Take in a world-class opera or ballet, bask in the sun on Larvotto Beach or get an adrenaline rush at May's Formula 1 Grand Prix.

Oia is carved out of the cliffs, and visitors can see houses built for Venetian sea captains as well as the more typical "cave houses" of the villagers. You’ll find the pure white buildings with colourful roofs that are typical of Greek architecture, and you’ll probably enjoy poking around the town. But don’t breeze through in an hour—you must stay for the sunset. It’s legendary. Watch from a café, or, better yet, from a boat—you’ll be spellbound.

Srinigar is a modern waterworld, dominated by Dal Lake and its twisting waterways, tree-lined Nagin Lake, and the Jhelum River. Engulf yourself in local culture by embracing your sea legs and renting one of the wooden boats called shikaras for a daytime or twilight cruise. On land, stroll through the terraced hillsides of the 400-year-old Mughal Gardens, created by Emperor Jehangir for his wife, and shop for indigenous crafts like hand-woven silks and embroidered shawls.

In Hinduism, Manu was said to have survived a great flood that destroyed the rest of the world. He then recreated mankind in this Kullu Valley town. What a rush, huh? No wonder the towering peaks and verdant terrain of Manali attracts adventure travellers, with heli-skiing, hiking, mountaineering and river rafting the favored active pursuits. Come down from your endorphin high by breathing deeply at the four-story, wooden Hidimba Devi Temple, which sits in the middle of a nearby deciduous forest, or take a medicinal soak in the hot springs burbling from the ground a 30-minute walk from town.

Established in the Himalaya foothills by a British Army officer in 1820, the "Queen of the Hills" stands above the rest with its deep woods, favorable climate and Doon Valley views. Its name is derived from the berry-covered Mansur shrub found in abundance around this trekker-friendly area. Vestiges of its colonial past are still reflected in the cuisine and architecture. For stunning natural sights, head to Gun Hill or Childer's Lodge, the two highest peaks, or the famous Kempty waterfall.

The holy city of Rishikesh, in the base of the Himalayas, holds deep cultural and spiritual significance for local Hindus. Sacred rivers and mountains set the scene for yoga and reflective hikes, and rafting here is an absolute must. The Beatles got in touch with their Eastern spiritual side here, writing several songs during a 1968 stint at a local ashram.

Laid out by British architect Edwin Lutyens, the Indian capital is a striking modern metropolis. A gracious contrast to Old Delhi's winding streets, the grand avenues and stately buildings of New Delhi are rich with history and culture, from Gandhi's Delhi home (and the site of his assassination) to the tomb of Humayun, a complex of Mughal buildings reminiscent of the Taj Mahal. Chaotic traffic is best left to the locals. Negotiate a good price for taxis or travel on the new Delhi Metro.

Udaipur, known as the Venice of the East, boasts several sparkling lakes against a backdrop of the Aravail hills. Jag Niwas and Jag Mandir, islands in Fateh Sagar Lake, are the site of Udaipur Solar Observatory and Nehru Garden. Famous palaces include the magical Lake Palace, now a luxurious five-star hotel, and the massive City Palace on Pichola’s east bank, featuring epic courtyards and stunning paintings.

Mumbai (formerly known as Bombay), India, is famous for its chaotic streets. For bargains and people-watching, outdoor bazaars top the list of attractions. Popular waterfront destinations are Marine Drive, where visitors go to watch the sun set over the Arabian Sea, and the carnival-like Juhu Beach. More sightseeing options are the Gandhi Museum, in the leader's former home, and the cave temples of Elephanta Island. For tranquillity, Mumbai has many religious sites, lakes and parks.