Day 1 Valencia, Spain

Valencia, Spain's third-largest municipality, is a proud city with a thriving nightlife and restaurant scene, quality museums, and spectacular contemporary architecture, juxtaposed with a thoroughly charming historic quarter, making it a popular destination year in year out. During the Civil War, it was the last seat of the Republican Loyalist government (1935–36), holding out against Franco's National forces until the country fell to 40 years of dictatorship. Today it represents the essence of contemporary Spain—daring design and architecture along with experimental cuisine—but remains deeply conservative and proud of its traditions. Though it faces the Mediterranean, Valencia's history and geography have been defined most significantly by the River Turia and the fertile huerta that surrounds it.The city has been fiercely contested ever since it was founded by the Greeks. El Cid captured Valencia from the Moors in 1094 and won his strangest victory here in 1099: he died in the battle, but his corpse was strapped into his saddle and so frightened the besieging Moors that it caused their complete defeat. In 1102 his widow, Jimena, was forced to return the city to Moorish rule; Jaume I finally drove them out in 1238. Modern Valencia was best known for its frequent disastrous floods until the River Turia was diverted to the south in the late 1950s. Since then the city has been on a steady course of urban beautification. The lovely bridges that once spanned the Turia look equally graceful spanning a wandering municipal park, and the spectacularly futuristic Ciutat de les Arts i les Ciències (City of Arts and Sciences), most of it designed by Valencia-born architect Santiago Calatrava, has at last created an exciting architectural link between this river town and the Mediterranean. If you're in Valencia, an excursion to Albufera Nature Park is a worthwhile day trip.

Day 4 Las Palmas de Gran Canaria, Spain

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.

Day 11 Recife, Brazil

This vibrant metropolis has a spirit that's halfway between that of the modern cities of Brazil's South and of the traditional northeastern centers. It offers both insight on the past and a window to the future.It was in Pernambuco State, formerly a captaincy, that the most violent battles between the Dutch and the Portuguese took place. Under the Portuguese, the capital city was the nearby community of Olinda. But beginning in 1637 and during the Dutch turn at the reins (under the powerful count Maurício de Nassau), both Olinda and Recife were greatly developed.The city has beautiful buildings alongside the rivers that remind many visitors of Europe. Unfortunately, huge swathes of 19th-century buildings were razed to make way for modern structures. As a result, the center of the city has pockets of neocolonial splendor surrounded by gap-toothed modern giants. Today Recife is a leader in health care and has benefited from significant government investment in recent years, resulting in a boom in infrastructure and construction industries. It's also Brazil's third-largest gastronomic center—it's almost impossible to get a bad meal here.Recife is built around three rivers and connected by 49 bridges. Its name comes from the recifes (reefs) that line the coast. Because of this unique location, water and light often lend the city interesting textures. In the morning, when the tide recedes from Boa Viagem Beach, the rocks of the reefs slowly reappear. Pools of water are formed, fish flap around beachgoers, and the rock formations dry into odd colors. And if the light is just right on the Rio Capibaribe, the ancient buildings of Recife Antigo (Old Recife) are reflected off the river's surface in a watercolor display.

Day 14 Buzios, Brazil

Around two hours from Rio de Janeiro, Búzios is a string of beautiful beaches on an 8-km-long (5-mile-long) peninsula. It was the quintessential sleepy fishing village until the 1960s, when the French actress Brigitte Bardot holidayed here to escape the paparazzi and the place almost instantly transformed into a vacation sensation. Búzios has something for everyone. Some hotels cater specifically to families and provide plenty of activities and around-the-clock child care. Many have spa facilities, and some specialize in weeklong retreats. For outdoor enthusiasts, Búzios offers surfing, windsurfing, kitesurfing, diving, hiking, and mountain biking, as well as leisurely rounds of golf.

Day 15 Rio de Janeiro, Brazil

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.

Day 16 Santos, Brazil