The Washington Post has an article on 7 Countries Where Americans Can Study at Universities, in English, for free (or almost free)
Among the countries listed in the article are Germany, Finland, France, Sweden, Norway, Slovenia, and Brazil.
I found some great opportunities for doing an MA program for free (that is, no tuition). Two samples:
- At The University of Bonn you can do an MA in Ecumenical Studies. Karl Barth taught theology here. And so did Martin Noth (for those with Old Testament leanings).
- At The University of Göttingen you can do an MA in Intercultural Theology. Karl Barth also taught theology here. And so did Jürgen Moltmann, among others.
There are many others. Be sure to check them out!