Hi, European here!
I'd like to politely clarify a few things:
(1) Europe is not a single monolithic entity. There are lots of different governments in Europe that approach things differently, and so there are actually lots of different approaches to higher level education.
(2) Education and healthcare are, in fact, human rights as set forth by the Universal Declaration of Human Rights. You'll notice that, while higher education does not specifically need to be "free" (Article 26), it does need to be "equally accessible to all on the basis of merit". The 1968 United Nations International Conference on Human Rights advised that the Declaration "constitutes an obligation for the members of the international community" to all persons.
(3) Taxes. Are. Not. Stealing. The basis of government is the social contract, the idea that citizens are in an agreement with their government - the government provides security and prosperity for its citizens and in return, citizens obey the laws that the government creates and pay taxes to ensure the government's ability to do its job. Arguably, the citizens can and should critically examine what their taxes are being used for, but if we're going to argue along the vein of "I don't want to pay for other people's education!" then it would be equally valid for other Americans to say that "I don't want to pay for such a giant defense budget" (in 2016 the American government spent 604 billion dollars on national defense, about 15% of the budget. Compare that to the 114 billion dollars being used on education aid or related services - that's less than 3% of the budget).
When it comes down to it, investing in education seems like it would lead to greater economic growth and welfare for everyone than investing in wars, don't you think?
^^^^^^^