In the UK ...

the Church of England (as well as the Catholic Church) has been stridently opposed to the government approving marriage equality, and has stated, despite a number of government guarantees and safety measures, that the Church will be forced to perform same-sex marriages. Well, the Church has just received the logical conclusion of its complaints - Parliament is going to actually make it illegal for the Church of England to perform same-sex marriages (other churches, like the Catholic Church, have the choice to opt in or out of SSM).

Both the Church of England and the Catholic Church are still not satisfied, though - they want to ban marriage equality completely, civil as well as religious. They don't have the power to do that in a pluralistic society.

UK plan for marriage equality bans England/Wales Anglican Churches

Equal Marriage and the Church of England