They are all capitalist economies, like it or not, that is where the money comes from. If Europeans think that their particular country is not capitalist they are confused.
They're all (as is the United States, for that matter) modern mixed economies; capitalism as a dominant economic system proper has been largely abandoned in the developed world in favor of systems which, compared to the then-dominant system named "capitalism" by its critics, systems with comparatively strong redistributive and central regulatory systems, and often a wide array of directly-provided State services, all reforms directed at mitigating the problems for which the critics that named "capitalism" were criticizing it.
Capitalism remains a significant ideology (particularly, surprisingly enough, among the capital-holding class and those who aspirationally associate with that class), and adherents to that ideology often misattribute the success of modern mixed economies compared to other alternatives to capitalism as a success of "capitalism".
Really, the difference between the US and European Social Democracies is between fairly small variations in the details of the structure of a mixed economy -- variations which can have a big practical effect, and are worth discussing, to be sure.