With a wide sandy beach, big hotels, and handy proximity to Colombo, Negombo is one of Sri Lanka’s most popular resorts. Beyond its sands lies an interesting mix: a colonial-built canal and crumbled fort; a lively fish market, traditional fishing communities, and a wildlife-rich lagoon.

Perched on Sri Lanka’s southwest coast, Galle wears its history on its sleeve. Windswept beaches and nodding palms surround its colonial-era showpiece, a 16th-century Portuguese-built fort, while the rest of the city is trimmed with Dutch-style houses, quirky shops, whitewashed mansions, and heritage museums.

Thanks to the addition of an international airport in 2001, Marsa Alam is fast becoming a premium tourist destination, especially for scuba divers. The waters here are brimming with marine life and pristine dive sites. Landlubbers, don’t miss the Emerald Mines and the Temple of Seti I at Khanais.

The beaches that stretch along Kudasi's Aegean coastline are as diverse in terrain as they are in ambiance. Ladies’ Beach, thusly named because it was once a for women only, is packed with nightclubs, souvenir vendors, restaurants and, of course, sunbathers and swimmers. Grass-lined Gold Beach is well-manicured and peaceful. Ride a horse from there to Long Beach, a playground of beach bars, pool tables and water sports.

Catania has been a prize of many empires over the centuries, from Greeks to Romans to Arabs to Normans to Spaniards (to name a few). But its citizens have a more dangerous enemy right in their backyard—Mount Etna, Europe's largest and most active volcano, which destroyed the city with earthquakes and lava flows in 1693. Look closely at the baroque buildings dating from after the eruption—you'll notice a creative use of lava.

Over 15 million gallons of water bubble daily into Budapest's 118 springs and boreholes. The city of spas offers an astounding array of baths, from the sparkling Gellert Baths to the vast 1913 neo-baroque Szechenyi Spa to Rudas Spa, a dramatic 16th-century Turkish pool with original Ottoman architecture. The "Queen of the Danube" is also steeped in history, culture and natural beauty. Get your camera ready for the Roman ruins of the Aquincum Museum, Heroes' Square and Statue Park, and the 300-foot dome of St. Stephen's Basilica.