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 2 Milos, Greece

Milos or Melos is a volcanic Greek island in the Aegean Sea, just north of the Sea of Crete. Milos is the southwesternmost island in the Cyclades group. The Venus de Milo and the Asclepius of Milos were both found on the island, as were a Poseidon and an archaic Apollo now in Athens.

Day 3 Náfplion, Greece

Oraia (beautiful) is the word Greeks use to describe Nafplion. The town's old section, on a peninsula jutting into the gulf of Argos, mixes Greek, Venetian, and Turkish architecture; narrow streets, often just broad flights of stone stairs, climb the slopes beneath the walls of Acronafplia. Tree-shaded plazas surround neoclassic buildings. The Palamidi fortress—an elegant display of Venetian might from the early 1700s—guards the town. Nafplion deserves at least a leisurely day of your undivided attention, and you may want to spend several days or a week here and use the city as the base from which to explore the many surrounding ancient sights.

Day 5 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 6 Lipari, Italy

The largest and most developed of the Aeolians, Lipari welcomes you with distinctive pastel-color houses. Fields of spiky agaves dot the northernmost tip of the island, Acquacalda, indented with pumice and obsidian quarries. In the west is San Calogero, where you can explore hot springs and mud baths. From the red-lava base of the island rises a plateau crowned with a 16th-century castle and a 17th-century cathedral.

Day 7 Agropoli, Italy

Day 9 Livorno, Italy

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.

Day 10 Livorno, Italy

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.

Day 11 Monte-Carlo, Monaco

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.