The decisions the leaders make in 2021 will be the most critical they have ever faced.
Desmond Tutu is by far the most high-profile African, if not global, religious leader to support lesbian and gay rights, and he has done so since the 1970s.
The church is itself divided on Brexit, but that doesn't mean it can't provide guidance for a polarised community.
An Anglican priest teaching about climate change says people have a naïve view of how science really works.
In response to the legalisation of same-sex marriage in Australia, conservative clergy have hardened their stance against it, causing even more pain for same-sex Christian couples.
Archbishop Desmond Tutu is first and foremost, a spiritual leader, a man of deep prayer. This motivated his participation in supporting South Africa's liberation struggle.
Even if secular law changes to allow same-sex couples to marry, churches are protected by religious freedom to choose who they will - or will not - marry.
The promise of Easter, which Christians around the world celebrate, can be likened to the new struggle in South Africa for a new leadership and government that cares about the people.
The Anglican Church's new rules destroy the biblical principle of lay people as co-workers with the clergy.
The two church leaders want to promote togetherness between Catholics and Anglicans, but their own churches are bitterly divided.
The role of religion in marriage has been distorted, helping the 'no' case for same-sex marriage to attract more attention than it deserves.
The Anglican church has been criticised for standing against gay marriage, but it has taken a positive step on an issue that many activists see as more important.
Feminists played a major part in raising the profile of women in the church. Now they need to step up for same-sex marriage.
In an attempt to avoid complete meltdown, the Anglican Church has sanctioned its US branch for backing same-sex marriage.
Sexuality is proving a destructive issue for the church.
The church is too diverse to be governed from Canterbury and should agree to disagree on issues such as women priests and bishops and sexuality.