Once known for smog, traffic and tacky architecture, Athens is a city reformed thanks to fortunes brought by the 2004 Summer Olympics. Spotless parks and streets, an ultra-modern metro, new motorways, an accessible airport and all signs in perfect English make the city easily negotiable. Meriting more than a stopover en route to the islands, sophisticated Athens sites include many pillars of Western history, from the Acropolis to the Temple of Olympian Zeus, as well as treasures in the National Archaeological Museum.

The Peloponnese is a large peninsula on the southernmost part of mainland Greece. Its history dates back to the Bronze Age. Buses and rental cars provide the best options for seeing the region's sites, such as Mycenae's ancient theatre, Sparta's Archaeological Museum and the ancient ruins of Mystras, Olympia, Mycenae, Corinth and Artemis Orthia. Held by the Turks and the Venetians until Greek independence in 1821, this centre of ancient Greece is also justly famous for traditional Greek dancing.

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.

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.

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.

Matheran is all about the views. Easily accessible via scenic rail from Mumbai, this refuge in the Sahyadri Hills is blissfully free of motor vehicles and affords nearly three dozen lookouts over the Western Ghats and the region's village-dotted plains. Porcupine Point is anything but prickly—rather, it’s an ideal spot for gorgeous sunsets, especially at the aptly named Panorama Point. Avid hikers hit the densely forested and wildlife-rich route to the ruins of Prabalgad Fort.

Lonavala is one of the twin hill stations located near to each other, the other being Khandala. These hill stations are very popular getaway spots for people from Mumbai and Pune, which are very well-linked with Lonavala by road and rail. Monsoons are the best time to visit Lonavala/Khandala.

The city of Mahabaleshwar is a pinnacle of greenery, boasting one of the only evergreen forests in the world. The landscape abounds with lush hills, valleys and lookout points such as Lodwick Point, Arthur's Seat and Babington Point, all of which offer spectacular views. Trot along on horseback for a delightful four-legged tour of the gorgeous Venna Lake area, and savour juicy native strawberries, mulberries and corn.

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.

Blossoming bougainvilleas, crumbling cathedrals on leafy boulevards and 18th-century colonial buildings colour the former French colony of Pondy, which sits on the Bay of Bengal. But it's also unmistakably Indian, with colourful festivals throughout the year, several mosques and the Sri Aurobindo Ashram. Quiet beaches stretch north and south from town, good for swimming and sunrise strolls. Pondy is a popular weekend getaway destination from Chennai and is easy to navigate on foot or by bicycle.