The infinite variety of street life, the nooks and crannies of the medieval Barri Gòtic, the ceramic tile and stained glass of Art Nouveau facades, the art and music, the throb of street life, the food (ah, the food!)—one way or another, Barcelona will find a way to get your full attention. The capital of Catalonia is a banquet for the senses, with its beguiling mix of ancient and modern architecture, tempting cafés and markets, and sun-drenched Mediterranean beaches. A stroll along La Rambla and through waterfront Barceloneta, as well as a tour of Gaudí's majestic Sagrada Famíliaand his other unique creations, are part of a visit to Spain's second-largest city. Modern art museums and chic shops call for attention, too. Barcelona's vibe stays lively well into the night, when you can linger over regional wine and cuisine at buzzing tapas bars.

On one of the best stretches of the Mediterranean, this classic luxury destination is one of the most sought-after addresses in the world. With all the high-rise towers you have to look hard to find the Belle Époque grace of yesteryear. But if you head to the town's great 1864 landmark Hôtel de Paris—still a veritable crossroads of the buffed and befurred Euro-gentry—or enjoy a grand bouffe at its famous Louis XV restaurant, or attend the opera, or visit the ballrooms of the casino, you may still be able to conjure up Monaco's elegant past. Prince Albert II, a political science graduate from Amherst College, traces his ancestry to Otto Canella, who was born in 1070. The Grimaldi dynasty began with Otto's great-great-great-grandson, Francesco Grimaldi, also known as Frank the Rogue. Expelled from Genoa, Frank and his cronies disguised themselves as monks and in 1297 seized the fortified medieval town known today as Le Rocher (the Rock). Except for a short break under Napoléon, the Grimaldis have been here ever since, which makes them the oldest reigning family in Europe. In the 1850s a Grimaldi named Charles III made a decision that turned the Rock into a giant blue chip. Needing revenue but not wanting to impose additional taxes on his subjects, he contracted with a company to open a gambling facility. The first spin of the roulette wheel was on December 14, 1856. There was no easy way to reach Monaco then—no carriage roads or railroads—so no one came. Between March 15 and March 20, 1857, one person entered the casino—and won two francs. In 1868, however, the railroad reached Monaco, and it was filled with Englishmen who came to escape the London fog. The effects were immediate. Profits were so great that Charles eventually abolished all direct taxes. Almost overnight, a threadbare principality became an elegant watering hole for European society. Dukes (and their mistresses) and duchesses (and their gigolos) danced and dined their way through a world of spinning roulette wheels and bubbling champagne—preening themselves for nights at the opera, where such artists as Vaslav Nijinsky, Sarah Bernhardt, and Enrico Caruso came to perform. Along with the tax system, its sensational position on a broad, steep peninsula that bulges into the Mediterranean—its harbor sparkling with luxury cruisers, its posh mansions angling awnings toward the nearly perpetual sun—continues to draw the rich and famous. One of the latest French celebrities to declare himself "Monégasque," thus giving up his French passport, is superchef Alain Ducasse, who said that he made the choice out of affection for Monaco rather than tax reasons. Pleasure boats vie with luxury cruisers in their brash beauty and Titanic scale, and teams of handsome young men—themselves dyed blond and tanned to match—scour and polish every gleaming surface. As you might expect, all this glitz doesn't come cheap. Eating is expensive, and even the most modest hotels cost more here than in nearby Nice or Menton. As for taxis, they don't even have meters so you are completely at the driver's mercy (with prices skyrocketing during events such as the Grand Prix). For the frugal, Monaco is the ultimate day-trip, although parking is as coveted as a room with a view. At the very least you can afford a coffee at Starbucks. The harbor district, known as La Condamine, connects the new quarter, officially known as Monte Carlo with Monaco-Ville (or Le Rocher), a medieval town on the Rock, topped by the palace, the cathedral, and the Oceanography Museum. Have no fear that you'll need to climb countless steps to get to Monaco-Ville, as there are plenty of elevators and escalators climbing the steep cliffs. But shuttling between the lovely casino grounds of Monte Carlo and Old Monaco, separated by a vast port, is a daunting proposition for ordinary mortals without wings, so hop on the No. 1 bus from Saint Roman, or No. 2 from the Jardin Exotique - Both stop at Place du Casino and come up to Monaco Ville.

Livorno is a gritty city with a long and interesting history. In the early Middle Ages it alternately belonged to Pisa and Genoa. In 1421 Florence, seeking access to the sea, bought it. Cosimo I (1519–74) started construction of the harbor in 1571, putting Livorno on the map. After Ferdinando I de' Medici (1549–1609) proclaimed Livorno a free city, it became a haven for people suffering from religious persecution; Roman Catholics from England and Jews and Moors from Spain and Portugal, among others, settled here. The Quattro Mori (Four Moors), also known as the Monument to Ferdinando I, commemorates this. (The statue of Ferdinando I dates from 1595, the bronze Moors by Pietro Tacca from the 1620s.)In the following centuries, and particularly in the 18th, Livorno boomed as a port. In the 19th century the town drew a host of famous Britons passing through on their grand tours. Its prominence continued up to World War II, when it was heavily bombed. Much of the town's architecture, therefore, postdates the war, and it's somewhat difficult to imagine what it might have looked like before. Livorno has recovered from the war, however, as it's become a huge point of departure for container ships, as well as the only spot in Tuscany for cruise ships to dock for the day.Most of Livorno's artistic treasures date from the 17th century and aren't all that interesting unless you dote on obscure baroque artists. Livorno's most famous native artist, Amedeo Modigliani (1884–1920), was of much more recent vintage. Sadly, there's no notable work by him in his hometown.There may not be much in the way of art, but it's still worth strolling around the city. The Mercato Nuovo, which has been around since 1894, sells all sorts of fruits, vegetables, grains, meat, and fish. Outdoor markets nearby are also chock-full of local color. The presence of Camp Darby, an American military base just outside town, accounts for the availability of many American products.If you have time, Livorno is worth a stop for lunch or dinner at the very least.

Amid the resorts of Sardinia's northeastern coast, Olbia, a town of about 60,000, is a lively little seaport and port of call for mainland ferries at the head of a long, wide bay.San SimplicioOlbia's little Catholic basilica, a short walk behind the main Corso Umberto and past the train station, is worth searching out if you have any spare time in Olbia. The simple granite structure dates from the 11th century, part of the great Pisan church-building program, using pillars and columns recycled from Roman buildings. The basilica has a bare, somewhat somber interior, its three naves separated by a series of arches.

Trapani, the most important town on Sicily’s west coast, lies below the headland of Mount Erice and offers stunning views of the Egadi Islands on a clear day. Trapani’s Old District occupies a scimitarshaped promontory between the open sea on the north and the salt marshes to the south. The ancient industry of extracting salt from the marshes has recently been revived, and it is documented in the Museo delle Saline. In addition to the salt marshes,Trapani’s other interesting environs include the beautiful little hill town of Erice, the promontory of Capo San Vito stretching north beyond the splendid headland of Monte Cofano, the lovely island of Motya and the town of Marsala. Trips farther afield will take you to the magnificent site of Segesta or the Egadi Islands, reached by boat or hydrofoil from Trapani Port.

Salerno is an Italian city located on the Gulf of Salerno. Famous for being home to the first medical university, Salerno is a great destination for anyone looking for gorgeous sea views filled with sunshine and Italian food.

Italy's vibrant capital lives in the present, but no other city on earth evokes its past so powerfully. For over 2,500 years, emperors, popes, artists, and common citizens have left their mark here. Archaeological remains from ancient Rome, art-stuffed churches, and the treasures of Vatican City vie for your attention, but Rome is also a wonderful place to practice the Italian-perfected il dolce far niente, the sweet art of idleness. Your most memorable experiences may include sitting at a caffè in the Campo de' Fiori or strolling in a beguiling piazza.