Church of England
The Church of England is the official Established State Church in England, whose titular Head is the monarch, followed by the Archbishop of Canterbury. The Church is often referred to as 'Anglican'.
Anglican Communion
The Church of Wales is considered Anglican as is the Church of Ireland, although neither is today the Established Church in those places.
Disestablishment of the Church of Wales took place in 1920 under the Welsh Church Act 1914. As a province of the Anglican Communion, the Church in Wales recognises the Archbishop of Canterbury as a focus of unity but without any formal authority. A cleric of the Church in Wales can still be appointed to posts in the Church of England.
The Church of Ireland was officially disestablished on 1 January 1871. Despite the strapline of Disestablishment positively declaring that "we were now free to shape our future…" this was by no means seen by all at the time as a positive move.