Rio de Janeiro, Venice-Marghera

Welcome to the Cidade Maravilhosa, or the Marvelous City, as Rio is known in Brazil. Synonymous with the girl from Ipanema, the dramatic views from Christ the Redeemer atop Corcovado mountain, and fabulously flamboyant Carnival celebrations, Rio is a city of stunning architecture, abundant museums, and marvelous food. Rio is also home to 23 beaches, an almost continuous 73-km (45-mile) ribbon of sand.As you leave the airport and head to Rio's beautiful Zona Sul (the touristic South Zone), you'll drive for about 40 minutes on a highway from where you'll begin to get a sense of the dramatic contrast between beautiful landscape and devastating poverty. In this teeming metropolis of 12 million people (6.2 million of whom live in Rio proper), the very rich and the very poor live in uneasy proximity. You'll drive past seemingly endless cinder-block favela, but by the time you reach Copacabana's breezy, sunny Avenida Atlântica—flanked on one side by white beach and azure sea and on the other by condominiums and hotels—your heart will leap with expectation as you begin to recognize the postcard-famous sights. Now you're truly in Rio, where cariocas (Rio residents) and tourists live life to its fullest.Enthusiasm is contagious in Rio. Prepare to have your senses engaged and your inhibitions untied. Rio seduces with a host of images: the joyous bustle of vendors at Sunday's Feira Hippie (Hippie Fair); the tipsy babble at sidewalk cafés as patrons sip their last glass of icy beer under the stars; the blanket of lights beneath the Pão de Açúcar (Sugarloaf Mountain); the bikers, joggers, strollers, and power walkers who parade along the beach each morning. Borrow the carioca spirit for your stay; you may find yourself reluctant to give it back.

Your next stop will be Cape Verde’s cultural capital, Mindelo. Get along with the locals listening to the real morna in the bars of the old town and sipping the local drink, a sugarcane spirit. This island is also known by its British and Portuguese colonial architecture and pastel-coloured houses, the municipal market and the facades of the old Governor’s Palace.

Perhaps the prettiest of the Canary Islands, Gran Canaria is an almost circular isle with the peak of Pozo de Las Nieves, its highest point, at the centre. With a wealth of natural beauty and all the exciting attractions of city life in the capital, the island offers the best of both worlds. You will no doubt wish to see the sights of the capital’s old quarter, which dates back to the 15th century and encompassses the Vegueta and Triana districts, and wherever you go you can enjoy the glorious subtropical climate, perfect for growing exotic palms and fruits.

Tangier can trace its origins back to the Phoenicians and ancient Greeks. It was named after Tinge, the mother of Hercules’ son, and its beginnings are embedded in mythology. It was subsequently a Roman province, and after Vandal and Byzantine influences, was occupied by the Arabs with Spain, Portugal, France and England also playing a part in the city’s history. With such a diverse past it is perhaps not surprising that Tangier is such an individual city. Overlooking the Straits of Gibraltar, the city lies on a bay between two promontories. With its old Kasbah, panoramic views, elegant buildings, squares and places of interest, there is much to discover in both the new and old parts of the city.

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.

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.

Home to the Museo Regionale of Messina, known for featuring two of Caravaggio's paintings, the city is also famous for having been the capital of the ancient kingdom of Sicily.

Malta's capital, the minicity of Valletta, has ornate palaces and museums protected by massive fortifications of honey-color limestone. Houses along the narrow streets have overhanging wooden balconies for people-watching from indoors. Generations ago they gave housebound women a window on the world of the street. The main entrance to town is through the City Gate (where all bus routes end), which leads onto Triq Repubblika (Republic Street), the spine of the grid-pattern city and the main shopping street. Triq Mercante (Merchant Street) parallels Repubblika to the east and is also good for strolling. From these two streets, cross streets descend toward the water; some are stepped. Valletta's compactness makes it ideal to explore on foot. City Gate and the upper part of Valletta are experiencing vast redevelopment that includes a new Parliament Building and open-air performance venue. The complex, completed mid-2013, has numerous pedestrian detours in place along with building noise and dust. Before setting out along Republic Street, stop at the tourist information office on Merchant Street for maps and brochures.

Split's ancient core is so spectacular and unusual that a visit is more than worth your time. The heart of the city lies within the walls of Roman emperor Diocletian's retirement palace, which was built in the 3rd century AD. Diocletian, born in the nearby Roman settlement of Salona in AD 245, achieved a brilliant career as a soldier and became emperor at the age of 40. In 295 he ordered this vast palace to be built in his native Dalmatia, and when it was completed he stepped down from the throne and retired to his beloved homeland. Upon his death, he was laid to rest in an octagonal mausoleum, around which Split's magnificent cathedral was built.In 615, when Salona was sacked by barbarian tribes, those fortunate enough to escape found refuge within the stout palace walls and divided up the vast imperial apartments into more modest living quarters. Thus, the palace developed into an urban center, and by the 11th century the settlement had expanded beyond the ancient walls.Under the rule of Venice (1420–1797), Split—as a gateway to the Balkan interior—became one of the Adriatic's main trading ports, and the city's splendid Renaissance palaces bear witness to the affluence of those times. When the Habsburgs took control during the 19th century, an overland connection to Central Europe was established by the construction of the Split–Zagreb–Vienna railway line.After World War II, the Tito years saw a period of rapid urban expansion: industrialization accelerated and the suburbs extended to accommodate high-rise apartment blocks. Today the historic center of Split is included on UNESCO's list of World Heritage Sites.

Venice is a city unlike any other. No matter how often you've seen it in photos and films, the real thing is more dreamlike than you could imagine. With canals where streets should be, water shimmers everywhere. The fabulous palaces and churches reflect centuries of history in what was a wealthy trading center between Europe and the Orient. Getting lost in the narrow alleyways is a quintessential part of exploring Venice, but at some point you'll almost surely end up in Piazza San Marco, where tourists and locals congregate for a coffee or an aperitif.