Amsterdam is the capital city and most populous municipality of the Netherlands. Its status as the capital is mandated by the Constitution of the Netherlands, although it is not the seat of the government, which is The Hague. Amsterdam has a population of 851,373 within the city proper, 1,351,587 in the urban area] and 2,410,960 in the metropolitan area. The city is located in the province of North Holland in the west of the country but is not its capital, which is Haarlem. The metropolitan area comprises much of the northern part of the Randstad, one of the larger conurbations in Europe, with a population of approximately 8 million.

Amsterdam is the capital city and most populous municipality of the Netherlands. Its status as the capital is mandated by the Constitution of the Netherlands, although it is not the seat of the government, which is The Hague. Amsterdam has a population of 851,373 within the city proper, 1,351,587 in the urban area] and 2,410,960 in the metropolitan area. The city is located in the province of North Holland in the west of the country but is not its capital, which is Haarlem. The metropolitan area comprises much of the northern part of the Randstad, one of the larger conurbations in Europe, with a population of approximately 8 million.

Cologne is the largest city of Germany's most populous federal state of North Rhine-Westphalia, and its 1 million+ (2016) inhabitants make it the fourth most populous city in Germany after Berlin, Hamburg, and Munich. The largest city on the Rhine, it is also the most populous city both of the Rhine-Ruhr Metropolitan Region, which is Germany's largest and one of Europe's major metropolitan areas, and of the Rhineland. Centred on the left bank of the Rhine, Cologne is about 45 kilometres (28 mi) southeast of North Rhine-Westphalia's capital of Düsseldorf and 25 kilometres (16 mi) northwest of Bonn. It is the largest city in the Central Franconian and Ripuarian dialect areas.

The city's famous Cologne Cathedral (Kölner Dom) is the seat of the Catholic Archbishop of Cologne. There are many institutions of higher education in the city, most notably the University of Cologne (Universität zu Köln), one of Europe's oldest and largest universities, the Technical University of Cologne (Technische Hochschule Köln), Germany's largest university of applied sciences, and the German Sport University Cologne (Deutsche Sporthochschule Köln), Germany's only sport university. Cologne Bonn Airport (Flughafen Köln/Bonn) is Germany's seventh-largest airport and lies in the southeast of the city. The main airport for the Rhine-Ruhr region is Düsseldorf Airport.

Vienna is the federal capital and largest city of Austria, and one of the nine states of Austria. Vienna is Austria's primate city, with a population of about 1.9 million (2.6 million within the metropolitan area, nearly one third of Austria's population), and its cultural, economic, and political centre. It is the 7th-largest city by population within city limits in the European Union. Until the beginning of the 20th century, it was the largest German-speaking city in the world, and before the splitting of the Austro-Hungarian Empire in World War I, the city had 2 million inhabitants. Today, it has the second largest number of German speakers after Berlin.Vienna is host to many major international organizations, including the United Nations and OPEC. The city is located in the eastern part of Austria and is close to the borders of the Czech Republic, Slovakia, and Hungary. These regions work together in a European Centrope border region. Along with nearby Bratislava, Vienna forms a metropolitan region with 3 million inhabitants. In 2001, the city centre was designated a UNESCO World Heritage Site. In July 2017 it was moved to the list of World Heritage in Danger.

Apart from being regarded as the City of Music[ because of its musical legacy, Vienna is also said to be "The City of Dreams" because it was home to the world's first psychoanalyst – Sigmund Freud. The city's roots lie in early Celticand Roman settlements that transformed into a Medieval and Baroque city, and then the capital of the Austro-Hungarian Empire. It is well known for having played an essential role as a leading European music centre, from the great age of Viennese Classicism through the early part of the 20th century. The historic centre of Vienna is rich in architectural ensembles, including Baroque castles and gardens, and the late-19th-century Ringstraße lined with grand buildings, monuments and parks.

Vienna is known for its high quality of life. In a 2005 study of 127 world cities, the Economist Intelligence Unit ranked the city first (in a tie with Vancouver and San Francisco) for the world's most liveable cities. Between 2011 and 2015, Vienna was ranked second, behind Melbourne. In 2018, it replaced Melbourne as the number one spot. For eight consecutive years (2009–2016), the human-resource-consulting firm Mercer ranked Vienna first in its annual "Quality of Living" survey of hundreds of cities around the world, a title the city still held in 2016. Monocle's 2015 "Quality of Life Survey" ranked Vienna second on a list of the top 25 cities in the world "to make a base within."

The UN-Habitat classified Vienna as the most prosperous city in the world in 2012/2013. The city was ranked 1st globally for its culture of innovation in 2007 and 2008, and sixth globally (out of 256 cities) in the 2014 Innovation Cities Index, which analyzed 162 indicators in covering three areas: culture, infrastructure, and markets. Vienna regularly hosts urban planning conferences and is often used as a case study by urban planners.

Between 2005 and 2010, Vienna was the world's number-one destination for international congresses and conventions. It attracts over 6.8 million tourists a year.

the capital of Hungary, in the northern central part of the country; population 1,712,210 (2009). It was formed in 1873 by the union of the city of Buda on the right bank of the Danube River with the city of Pest on the left.

the capital of Hungary, in the northern central part of the country; population 1,712,210 (2009). It was formed in 1873 by the union of the city of Buda on the right bank of the Danube River with the city of Pest on the left.

the capital of Hungary, in the northern central part of the country; population 1,712,210 (2009). It was formed in 1873 by the union of the city of Buda on the right bank of the Danube River with the city of Pest on the left.