The largest and many say most beautiful island in the Bay of Naples, Ischia is renowned for its curative spas. Ferries and hydrofoils connect Naples to Ischia Porto, the main town. Nearby at Ischia Ponte (connected to the main island by a foot bridge) are the magnificent Castello Aragonese and Guevara Tower. Forio on the island’s west coast, Lacco Ameno in the northwest and Sant’Angelo in the south are the liveliest resort towns. Casamicciola Terme in the north is one of Europe’s oldest spas.

Romance seems to waft through the air on Capri, accompanied by the scent of lemon blossoms and fresh sea air. Leave the car on the mainland and join the masses who use water transport to flock to this dramatic Italian isle in the Bay of Naples. The luminescence of the Blue Grotto, the striking Faraglioni rocks and Palazzo al Mare add to the magical spell. Snorkel from Marina Piccola beach on the island's south side, believed to be the spot where Odysseus nearly succumbed to the Sirens' song.

The region of Campania curves around the bays of Naples and Sorrento, with towering Vesuvius and mountain ranges and massifs looming above. Ancient classical ruins are scattered throughout the region, from the ruins of Pompeii and Herculaneum to the Greek temples in Paestum. Popular resort towns include charming Sorrento and Amalfi, upscale Positano and haven for the elite, Ravello. For even more memorable sights, catch a ferry from Sorrento or Naples to the isle of Capri, home of the magical Blue Grotto.

Three miles of twisty mountain roads up from Amalfi, the gorgeous resort of Ravello has been attracting celebrities for centuries, including Richard Wagner, Greta Garbo, Gore Vidal and D.H. Lawrence, who wrote Lady Chatterley’s Lover here. Ravello’s Duomo (Cathedral) and Villa Cimbrone (both 11th century) and Villa Rufolo (13th century) are all magnificent sights. The annual summer Ravello Festival began as a salute to Wagner’s music, but now showcases a wide range of music and arts.

Stretching along the southern side of Italy's Sorrentine Peninsula, the Amalfi coast dazzles with its mysterious grottos, craggy cliffs and shimmering bays. Grab a seat on the sea side of a regional bus to soak up views on the fabled route from artsy Positano to Amalfi. Ravello offers some respite from the crowds, plus the stunning Villa Cimbrone, which overlooks the Bay of Salerno. The winding streets of Sorrento's historic district are filled with craftspeople. Capri is only a hydrofoil or ferry ride away.

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.

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.

Love garlic? You’ll love the food in Pune. Unlike other cuisines of the subcontinent, Pune cuisine relies heavily on the aromatic bulb. Soothe your palate with sweets like bhakarwadi, a pastry rolled with coriander, tamarind and sesame seeds, or cool off with a thick milkshake made with dried fruit.

East meets West in this sun-soaked state, where Indian culture intertwines with Portuguese influences left over from a 500-year occupation. The beaches have long served as a magnet for serene hedonists. To the north, the tourist-centric scene is prevalent, with an international flair that is now skewing more hip than hippie. Travel south for stretches of unspoiled sand and an escape from large resorts. Temples, mosques and wildlife sanctuaries provide diversions from the beach.

Want a taste of being royal? Eat in Hyderabad, where culinary traditions have been passed down from the Nizam monarchy. Arabic, Turkish and Mughlai influences are easily recognisable. The city is famous for its rich, aromatic biryani made with lamb, chicken or vegetables and served with fragrant basmati rice. Satisfy your sweet tooth with double-ka-meetha, a bread pudding.

Known as both the "Garden City" and "The Silicon Valley of India," Bangalore (officially "Bengaluru") is a techie’s paradise, boasting the highest concentration of IT companies in the country. When you’re done geeking out, there are plenty of gardens, museums, natural features, palaces and temples to fill your dance card. Visit Vidhana Soudha, Cubbon Park and the Ulsoor Lake of Bangalore, well known for its beautiful locales and boating facilities. Bangalore is also a major centre of Indian classical music and dance, and of vivid, cutting-edge nightlife.

The people of Tamil Nadu consider providing food to others a service to humanity. Thus the service in the state capital, Chennai, is first-rate. Treat your senses to some of the richest South Indian flavours in traditional dishes like sambar, rasam, fish curry or kootu. And don't forget to have a cup of full-bodied Tamil coffee, enhanced with chicory—no visit is complete without it.

Poised on the banks of the Brahamputra River, this rapidly growing city provides a link to seven other northeastern states. Its hills hold a 10th-century temple dedicated to the goddess Kamakhya and an ancient seat of astronomy known as Navagraha, the temple of the nine planets; the small Umananda temple, dedicated to Lord Shiva, is on an island in the river. The area around the city contains wildlife sanctuaries, archeological ruins and a silk-weaving center.