What happens as soon as women have the power to decide about their bodies, their sex and love life so is that a certain sub-set of men all get wrapped into brezel shape over this outragious independence. There seems to be a huge overlap of those men and religious conviction. And seeimg themselves as victims of whom or whatever. And then they wonder why they don't get laid or find fulfilling relationships.
The power to make decisions includes the power to make mistakes. Having more power doesn't automatically mean that every decision made with said power is for the better. Women aren't above criticism for their bad decisions.
And no amount of wrong decisions of one person gives another person the right to decide for them. That's what laws, courts and a legal system is there for.
Edit: Other countries: Taiwan, Malaysia. The problem is less religion and stability, it is more that free democracies are somewhat far between globally. Add in somewhat economical stability as a requirement for me migrating, which was the question, and the list gets even shorter (it would also exclude the vast majority of Latin America by that measure alone, not that these countries are particularly stable despite being staunchly Christian).
You don't see the contradiction here? Laws, courts, and legal systems are other people deciding for those who have made a sufficient amount of wrong decisions.
(Thanks for the examples. I'm not familiar enough with Shinto et al to comment on what kind of stability such societies are founded upon.)
The Netherlands and the UK, both solidly >50% nonreligious.