Day 1 Piraeus, Greece

It's no wonder that all roads lead to the fascinating and maddening metropolis of Athens. Lift your eyes 200 feet above the city to the Parthenon, its honey-color marble columns rising from a massive limestone base, and you behold architectural perfection that has not been surpassed in 2,500 years. But, today, this shrine of classical form dominates a 21st-century boomtown. To experience Athens—Athína in Greek—fully is to understand the essence of Greece: ancient monuments surviving in a sea of cement, startling beauty amid the squalor, tradition juxtaposed with modernity. Locals depend on humor and flexibility to deal with the chaos; you should do the same. The rewards are immense. Although Athens covers a huge area, the major landmarks of the ancient Greek, Roman, and Byzantine periods are close to the modern city center. You can easily walk from the Acropolis to many other key sites, taking time to browse in shops and relax in cafés and tavernas along the way. From many quarters of the city you can glimpse "the glory that was Greece" in the form of the Acropolis looming above the horizon, but only by actually climbing that rocky precipice can you feel the impact of the ancient settlement. The Acropolis and Filopappou, two craggy hills sitting side by side; the ancient Agora (marketplace); and Kerameikos, the first cemetery, form the core of ancient and Roman Athens. Along the Unification of Archaeological Sites promenade, you can follow stone-paved, tree-lined walkways from site to site, undisturbed by traffic. Cars have also been banned or reduced in other streets in the historical center. In the National Archaeological Museum, vast numbers of artifacts illustrate the many millennia of Greek civilization; smaller museums such as the Goulandris Museum of Cycladic Art Museum and the Byzantine and Christian Museum illuminate the history of particular regions or periods. Athens may seem like one huge city, but it is really a conglomeration of neighborhoods with distinctive characters. The Eastern influences that prevailed during the 400-year rule of the Ottoman Empire are still evident in Monastiraki, the bazaar area near the foot of the Acropolis. On the northern slope of the Acropolis, stroll through Plaka (if possible by moonlight), an area of tranquil streets lined with renovated mansions, to get the flavor of the 19th-century's gracious lifestyle. The narrow lanes of Anafiotika, a section of Plaka, thread past tiny churches and small, color-washed houses with wooden upper stories, recalling a Cycladic island village. In this maze of winding streets, vestiges of the older city are everywhere: crumbling stairways lined with festive tavernas; dank cellars filled with wine vats; occasionally a court or diminutive garden, enclosed within high walls and filled with magnolia trees and the flaming trumpet-shaped flowers of hibiscus bushes. Formerly run-down old quarters, such as Thission, Gazi and Psirri, popular nightlife areas filled with bars and mezedopoleia (similar to tapas bars), are now in the process of gentrification, although they still retain much of their original charm, as does the colorful produce and meat market on Athinas. The area around Syntagma Square, the tourist hub, and Omonia Square, the commercial heart of the city about 1 km (½ mi) northwest, is distinctly European, having been designed by the court architects of King Otho, a Bavarian, in the 19th century. The chic shops and bistros of ritzy Kolonaki nestle at the foot of Mt. Lycabettus, Athens's highest hill (909 feet). Each of Athens's outlying suburbs has a distinctive character: in the north is wealthy, tree-lined Kifissia, once a summer resort for aristocratic Athenians, and in the south and southeast lie Glyfada, Voula, and Vouliagmeni, with their sandy beaches, seaside bars, and lively summer nightlife. Just beyond the city's southern fringes is Piraeus, a bustling port city of waterside fish tavernas and Saronic Gulf views.

Day 3 Split, Croatia

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.

Day 4 Kotor, Montenegro

Backed by imposing mountains, tiny Kotor lies hidden from the open sea, tucked into the deepest channel of the Bokor Kotorska (Kotor Bay), which is Europe's most southerly fjord. To many, this town is more charming than its sister UNESCO World Heritage Site, Dubrovnik, retaining more authenticity, but with fewer tourists and spared the war damage and subsequent rebuilding which has given Dubrovnik something of a Disney feel.Kotor's medieval Stari Grad (Old Town) is enclosed within well-preserved defensive walls built between the 9th and 18th centuries and is presided over by a proud hilltop fortress. Within the walls, a labyrinth of winding cobbled streets leads through a series of splendid paved piazzas, rimmed by centuries-old stone buildings. The squares are now haunted by strains from buskers but although many now house trendy cafés and chic boutiques, directions are still given medieval-style by reference to the town's landmark churches.In the Middle Ages, as Serbia's chief port, Kotor was an important economic and cultural center with its own highly regarded schools of stonemasonry and iconography. From 1391 to 1420 it was an independent city-republic and later, it spent periods under Venetian, Austrian, and French rule, though it was undoubtedly the Venetians who left the strongest impression on the city's architecture. Since the breakup of Yugoslavia, some 70% of the stone buildings in the romantic Old Town have been snapped up by foreigners, mostly Brits and Russians. Porto Montenegro, a new marina designed to accommodate some of the world's largest super yachts, opened in nearby Tivat in 2011, and along the bay are other charming seaside villages, all with better views of the bay than the vista from Kotor itself where the waterside is congested with cruise ships and yachts. Try sleepy Muo or the settlement of Prcanj in one direction around the bay, or Perast and the Roman mosaics of Risan in the other direction.

Day 5 Corfu, Greece

Corfu town today is a vivid tapestry of cultures—a sophisticated weave, where charm, history, and natural beauty blend. Located about midway along the island's east coast, this spectacularly lively capital is the cultural heart of Corfu and has a remarkable historic center that UNESCO designated as a World Heritage Site in 2007. All ships and planes dock or land near Corfu town, which occupies a small peninsula jutting into the Ionian Sea.Whether arriving by ferry from mainland Greece or Italy, from another island, or directly by plane, catch your breath by first relaxing with a coffee or a gelato in Corfu town's shaded Liston Arcade, then stroll the narrow lanes of its pedestrians-only quarter. For an overview of the immediate area, and a quick tour of Mon Repos palace, hop on the little tourist train that runs from May to September. Corfu town has a different feel at night, so book a table at one of its famed tavernas to savor the island's unique cuisine.The best way to get around Corfu town is on foot. The town is small enough so that you can easily walk to every sight. There are local buses, but they do not thread their way into the streets (many now car-free) of the historic center. If you are arriving by ferry or plane, it's best to take a taxi to your hotel. Expect to pay about €10 from the airport or ferry terminal to a hotel in Corfu town. If there are no taxis waiting, you can call for one.

Day 6 Katakolon, Greece

Katakolon could not seem less of a cruise port if it tried. A tiny enclave clinging to the western Peloponnese coast, it's a sleepy place except when ships dock. But it's a popular cruise destination because of its proximity to Olympia. Ancient Olympia was one of the most important cities in classical Greece. The Sanctuary of Zeus was the city's raison d'être, and attracted pilgrims from around the eastern Mediterranean, and later the city played host to Olympic Games, the original athletic games that were the inspiration for today's modern sporting pan-planetary meet. At the foot of the tree-covered Kronion hill, in a valley near two rivers, Katakolon is today one of the most popular ancient sites in Greece. If you don't want to make the trip to Olympia, then Katakolon is an ideal place for a leisurely Greek lunch while you watch the fishermen mend their nets, but there's just not much else to do there.

Day 7 Messina, Italy

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.

Day 8 Valletta, Malta

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.

Day 9 La Goulette, Tunisia

Day 11 Palma de Mallorca, Spain

If you look north of the cathedral (La Seu, or the seat of the bishopric, to Mallorcans) on a map of the city of Palma, you can see around the Plaça Santa Eulàlia a jumble of tiny streets that made up the earliest settlement. Farther out, a ring of wide boulevards traces the fortifications built by the Moors to defend the larger city that emerged by the 12th century. The zigzags mark the bastions that jutted out at regular intervals. By the end of the 19th century, most of the walls had been demolished; the only place where you can still see the massive defenses is at Ses Voltes, along the seafront west of the cathedral.A torrent (streambed) used to run through the middle of the old city, dry for most of the year but often a raging flood in the rainy season. In the 17th century it was diverted to the east, along the moat that ran outside the city walls. Two of Palma's main arteries, La Rambla and the Passeig d'es Born, now follow the stream's natural course. The traditional evening paseo (promenade) takes place on the Born.If you come to Palma by car, park in the garage beneath the Parc de la Mar (the ramp is just off the highway from the airport, as you reach the cathedral) and stroll along the park. Beside it run the huge bastions guarding the Almudaina Palace; the cathedral, golden and massive, rises beyond. Where you exit the garage, there's a ceramic mural by the late Catalan artist and Mallorca resident Joan Miró, facing the cathedral across the pool that runs the length of the park.If you begin early enough, a walk along the ramparts at Ses Voltes from the mirador beside the cathedral is spectacular. The first rays of the sun turn the upper pinnacles of La Seu bright gold and then begin to work their way down the sandstone walls. From the Parc de la Mar, follow Avinguda Antoni Maura past the steps to the palace. Just below the Plaça de la Reina, where the Passeig d'es Born begins, turn left on Carrer de la Boteria into the Plaça de la Llotja (if the Llotja itself is open, don't miss a chance to visit—it's the Mediterranean's finest Gothic-style civic building). From there stroll through the Plaça Drassana to the Museu d'Es Baluard, at the end of Carrer Sant Pere. Retrace your steps to Avinguda Antoni Maura. Walk up the Passeig d'es Born to Plaça Joan Carles I, then right on Avenida de La Unió.

Day 12 Barcelona, Spain

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.