Riverside beauty and a vibrant cultural scene blend together in Budapest to form one of Europe's most rewarding cities. Hungary's enchanting capital straddles the banks of the Danube, with traditional hillside Buda on one side and modern Pest on the other. By day, stunning art nouveau buildings, stalwart castles and grand palaces set the stage for inspiring strolls and long soaks in thermal spas. By night, the shimmering lights of the Parliament building dance across the waters of the Danube, the Chain Bridge uniting it all as a dramatic centerpiece.

Take in the natural beauty of the fabled "Blue Danube” as you pass through the Danube Bend, considered one of the most beautiful sections of the river. Cruising this 40-mile stretch through northern Hungary, you will see peaceful farmland and an ancient castle that once served as hunting grounds for royals and visiting dignitaries. As you sail the passage between the Börzsöny and Pilis Ranges, you will marvel at the steep hills draped with bucolic forests. And delight in the majestic church domes peering at the waterway from inviting villages and historic cities.

Renowned as the "City of Waltzes,” Austria's capital city of Vienna is Europe's center of classical music. Strauss and Mozart composed many of their finest pieces here. Vienna's musical history is matched by the elegant, graceful architecture that lines the Ringstrasse, the wide boulevard encircling the Inner City. Baroque, neo-Renaissance, Gothic-Romanesque and other splendidly styled structures, from the Hofburg Palace to the Vienna State Opera, take the breath away with their grand facades. Vienna has a more intimate side too: inviting footpaths lead through green parks and its famed Viennese cafés sweeten any stay with coffee and the city's delectable Sachertorte.

Vienna is considered one of Europe's greatest cultural hubs. Its art scene has long been established with the Hapsburg's collection of fine art, now housed at the Kunsthistorisches Museum. Today, Vienna's modern side showcases street art murals that don the side of buildings along the banks of the Danube. Ingrained in local life is the long-embraced tradition of coffeehouses; UNESCO includes Viennese coffeehouse culture on its list of Intangible Cultural Heritages. It is considered one of life's pleasures to while away an afternoon over an Einspänner coffee and a pastry.

Sail through a serene tapestry of terraced vineyards, forested slopes, charming towns and castle ruins in Austria's Wachau Valley, celebrated as perhaps the most scenic stretch of the Danube. Journey 18 miles through this vast UNESCO World Heritage Site, where the river courses through picturesque hillsides. Gaze upon the prolific grapevines and quaint wine-producing villages hugging the shores-the legacy of vintners that stretch as far back as Celtic and Roman times and an echo of the more than 30 monasteries that served as vineyards in Renaissance days.

Founded by the Celts over 2,000 years ago, Passau is one of Bavaria's oldest cities. Known as the "City of Three Rivers,” it rests at the confluence of the Inn, Ilz and Danube rivers. The city has long enjoyed its strategic position and grew to great economic and political power because of it. The legacy of its past prosperity lives on in graceful arcades, colorful houses with rococo facades and the glorious baroque St. Stephen's Cathedral, home to one of Europe's largest pipe organs. Passau is also where two nations meet; it is here that the German-Austrian border begins.

Having escaped major damage during World War II, the picturesque town of Regensburg is one of Europe's best-preserved medieval cities, the oldest city along the Danube and a UNESCO World Heritage Site. The Old Stone Bridge, constructed in the 12th century, is a masterpiece of medieval engineering with its 16 arches. St. Peter's Cathedral is widely considered Bavaria's best Gothic architectural work. The old town's Neupfarrplatz square is a cross section of history-it was once a thriving Jewish quarter, a bustling marketplace and the site of Nazi book burnings.

Regensburg dates back to Roman times and was the first capital of Bavaria. Today, the city has a laid-back atmosphere and its warren of narrow alleys are a delight to explore. Amid its riverside streets is the small Alte Wurstküche tavern, the world's first sausage kitchen. It opened its doors in the 12th century to serve the construction workers of the Old Stone Bridge and St. Peter's Cathedral, making it the first fast-food restaurant ever. In line with Bavarian tradition, visits to the pub are customary for many of the locals and serve as a ritual of community life.

Within the medieval walls of Nuremberg, Old Town is a place frozen in time. Its rustic half-timbered houses, ornate Gothic churches and cobblestone lanes form a fairy-tale scene. Looming above all is the Imperial Castle, which hosted the coronation of Holy Roman Emperors and the exaltation and entombment of saints. Completed in 1000 AD, it was a formidable fortification and provided a central seat of power for German kings. Nuremberg became the unofficial capital of the empire for 600 years, hosting courts and the Diet, periodic assemblies that shaped policy and strategy.

Founded in 902, Bamberg remains a medieval-looking city known for its symphony orchestra and rauchbier, specialty smoked beer. The city's winding streets are filled with baroque patrician houses and are home to the stunning 11th-century Cathedral of Holy Roman Emperor Heinrich II, housing his tomb and that of Pope Clement II. Bamberg is especially noted for its Altes Rathaus, or Old Town Hall, situated on a twin-arched bridge over the Regnitz River, and for the old bishop's houses: the 16th-century Alte Hofhaltung (Old Court) and 17th-century Neue Residenz (New Residence).

Surrounded by Franconian vineyards, Würzburg was heavily damaged during World War II, but has since been completely restored. This prestigious university city is a jewel of baroque architecture. Its most pristine example of pomp and glory is the great Bishops' Residenz palace, built in 1744 for the prince-bishop; his unwavering support of artists is evidenced by the sweeping staircase and magnificent ceiling frescoes by Tiepolo. Other landmarks include the medieval, statue-lined Old Main Bridge and Marienberg Fortress, originally a Celtic hill fort and later residence of the bishops. The city remains a major wine-making center, hosting Germany's oldest and largest vineyard.

Marktheidenfeld is a picturesque town situated in the Lower Franconia region of Bavaria and boasts a rich heritage that dates back to medieval times. Well-preserved, half-timbered houses line quaint streets and in its heart lies a bustling Marktplatz, or market square, that exudes character and a vibrant atmosphere. Local restaurants serve traditional hearty Bavarian fare, including delicious dishes such as Schweinshaxe (pork knuckle), Kaiserschmarrn (scrambled caramelized pancake) and the more commonly known bratwurst.

Straddling the Main River, Frankfurt has been nicknamed "Mainhattan” for its skyline that resembles New York City's Manhattan. It is a major financial center and a rich hub of culture, history and architecture. No fewer than nine museums line the Main embankment, covering everything from art to film to ethnology. In the Roman Hill district, Frankfurt's townhall is spread over 11 conjoined patrician houses. Emperors were crowned in the Gothic St. Bartholomew's Cathedral, and remnants from Roman settlements are on exhibit in the city's Archaeological Garden.

Set in southern Germany, Baden-Baden lies between the verdant Black Forest and the sun-soaked vineyards of the Rebland. With origins dating back to the Roman times-when it was known as Aquae, or "the waters”-this town has long been prized for its abundant hot springs, which rise from depths around 6,500 feet. Today, it holds UNESCO World Heritage status as a part of the Great Spa Towns of Europe. Beyond its mineral-rich waters, Baden-Baden boasts historic architecture, including Roman bath ruins, and a scenic arboretum that winds through its heart.

The largest port on the Upper Rhine, Strasbourg is the cultural center of France's Alsace region. Thanks to its location at the border of France and Germany, it boasts a convivial mix of cultural influences. The well-preserved old town is enclosed on all sides by the little Ill River, with sites so compact that it is easy to explore the "island” on foot. And there is plenty to explore: cobblestone streets lined with wooden houses and intersected by picturesque canals. Indulging in Alsatian café culture is central to any visit here; enjoy coffee and cake amid lovely half-timbered houses.

Breisach is a gateway to the fabled Black Forest region, built on a basalt rock outcropping in the Rhine plain. It is located in one of the warmest parts of Germany, across the river from French Alsace, famous for its wine growing. But Breisach, too, can boast about its wine: it is home to Europe's largest cellars, with a storage capacity of more than 160 million liters. The most prominent landmark of Breisach is the Romanesque-Gothic St. Stephen's Cathedral, built between the 12th and 13th centuries. Its two towers are visible from throughout the city and from the Rhine.

Located where Switzerland, Germany and France meet, Basel reflects a fascinating blend of traditions. The city straddles the Rhine at the river's farthest navigable point, and an alluring cluster of old-town buildings huddles along the riverbank. Around Market Square, guild houses recall Gothic, Renaissance and baroque splendor; the red-sandstone Rathaus, or Town Hall, is the centerpiece. More than 40 museums of art and culture lend modern polish to its history-rich streets. And there is no more refined way to sample it all than over cheese fondue or croissants.

Bid farewell to your fellow guests and journey home. Or spend more time exploring, perhaps joining one of our extensions.