Embark your ship and settle into your stateroom.

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, astounding art nouveau buildings, stalwart castles and glittering palaces set the stage for awe-inspiring strolls and long soaks in thermal spas. By night, a nostalgic glow settles in as the city’s lights dance on Danube waters, the Chain Bridge uniting it all as a dramatic centerpiece.

Budapest’s Old Town is a fascinating medieval patchwork of narrow streets and colorful houses. In the Castle District, the Matthias Church soars in gleaming Gothic glory. Adjacent, the expansive wall and seven turrets of Fisherman’s Bastion overlook the Danube, the graceful Chain Bridge and the Pest side of the river. The centerpiece of the district is the sprawling Buda Castle. Constructed in the 13th century and expanded to its current baroque splendor in the 18th century, this edifice was home to Hungary’s kings for almost 700 years.

The Slovakian capital of Bratislava is filled with lovingly restored baroque city palaces and leafy squares. The Little Carpathians rise steeply in the north and the enormous hrad (or castle) perches 300 feet above the Danube, lending the city a picturesque setting. Below the castle, the Old Town boasts elegant mansions, art nouveau houses and gracious pedestrian zones. Eleven Hungarian kings and eight queens were crowned in St. Martin’s Cathedral, today a concert hall that plays a central role in the city’s rich cultural offerings.

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.

A small university town at the eastern end of the Danube’s Wachau Valley, Krems is surrounded by terraced vineyards. In its heyday, during the 12th century, Krems held even more importance than Vienna for its iron, grain, salt and wine trade. As to the latter, the city has played a long and celebrated part in the popularity of the Wachau’s wine culture; the valley’s south slopes in Krems are bathed in sunlight all day and create some of the best Riesling and Veltliner wines in the world. The city’s cobblestone streets, taverns, wine bars and coffeehouses have a timeless appeal.

Originally known as Lentia in its days as a 1st-century Roman castle-settlement, Linz is today’s provincial capital of Upper Austria. The city’s famous Linzer Torte, the jam-filled cake topped with almonds, hails from here and can be found in any number of cafés. In the Old Town, narrow lanes lead to the Hauptplatz, once the largest town square in Austria. Handsome patrician houses, the 17th-century Town Hall and an impressive cathedral line the open space. The steepest mountain railway in Europe delivers visitors to Pöstlingberg hill and its 18th-century pilgrimage church.

Founded by the Celts more than 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.

The pride of Passau, the massive organ in the baroque St. Stephen’s Cathedral is one of the largest outside the United States. As with most organs of its size, it grew gradually over centuries. Today, it actually comprises five separate organs that carry varied tonal qualities and attending a concert in its elegant cathedral setting is truly an uplifting experience. Outside the heart of the city lies rural Bavaria, with its picturesque rolling hills and verdant green pastures. Some of the region’s best-loved products are produced here, from its prized hams and sausages to its milk and delicious alpine cheeses.

After breakfast, disembark your ship and journey home.