Hungary
While birthright citizenship is relatively easy to achieve where a direct lineage can be proven to a Hungary-born citizen grandparent (plus language requirement), alarming reports about both de facto and de jure discrimination in daily life and immigration administration make this a less-desirable option among European countries.
Unless Hungary gets forcibly ejected from the European Union, however, a Hungarian passport holder can live and work without a visa in any other EU country. Going through the birthright process of getting a passport may require promising to live and documenting a plan of living in Hungary, as well as an entirely deadnamed application.
LGBTQ+ Healthcare, though embattled, is still publicly offered by some providers such as Prizma (unvetted/unconfirmed); HRT may be possible but surgery is anecdotally impossible.