This postscript highlights the key features of this book, especially its combination of different approaches using legal, demographic and sociological analysis tools, and the comparative perspective that is present throughout. The approach is particularly useful, because the three disciplines that structure the book do not view same-sex families in the same way. Another strand in the book is a more direct reflection on marriage. While marriage has been the symbol of the recognition of sexual minorities in recent years, the book shows that it cannot fully embody it, and invites us to think "beyond marriage". The last part of this postscript will suggest research themes that could usefully be investigated, provided that suitable tools are used-particularly the tools of quantitative sociology, since the social and scientific visibility of same-sex parenthood does not always mean statistical visibility. Keywords Same-sex couples • LGBT families • Europe • Marriage • Methods Research on same-sex parenthood has been going on in Europe for some 30 years. The trend owes much to the movement for political, legal and social recognition that began in the Scandinavian countries in the late 1980s, starting with Denmark in 1989. It then spread to most countries of Western Europe, taking different forms in different countries, and is now emerging in some East European countries. Although most of the earliest provisions recognizing same-sex unions, such as registered partnerships and civil unions, included no provision for filiation and parentage, it was due to them that same-sex-parented families (called "same-sex families") were included in the political agenda and gradually became objects of study in the social sciences. But these kinds of family were not new. Lack of legal recognition and a term to call them by never prevented LGBT families from existing. They were "nameless families" in the words of Pierre Bourdieu (1996)-low-visibility families.