Even in Europe there are quite a few varieties. Some European liberals are more along the lines of American libertarians, but most are considerably more open to some degree of social safety net, and would be positioned to the left of more of a Reagan/Thatcher approach. Especially some kind of welfare system, universal public education, and universal provision of healthcare are common viewpoints. Some of this is the influence of left-Hayekians and German "social market economy" theorists within the European liberal movement, but some of those positions also have quite old roots in liberalism (e.g. Thomas Jefferson was a well-known American classical liberal favoring universal public education).
The UK Liberal Democrats and the Danish Social Liberal Party are two examples of liberal parties fairly solidly taking that viewpoint. The German FDP also used to in earlier years, but since the '80s is more Thatcher-influenced. The UK Economist newsmagazine also has views that could be put in this category.