as someone else stated, the anglican communion is not under the authority of the Pope.
King Henry VIII started the Church of England and declared himself the head of the church.
they have the Book of Common Prayer which they use for their liturgical service.
their service centers around holy communion. they say the apostle’s creed, the nicene creed, the our father. in Catholicism, we are taught of the Real Presence. in the anglican church. you don’t have to believe that. some believe it is a symbol only. the anglican communion is via media - which means it is both Catholic and protestant. i believe it is the 3rd largest denomination after the Orthodox and Catholic denominations. the anglican communion was the religion of the British empire. it is used in canada, australia, new zealand, africa and is found in other countries around the world.
yes, there was a very bloody history in england between the protestants and the Catholics after the Reformation.
the Pope has approved of an Anglican Use Mass for those anglicans who wish to join the Catholic church. i believe in England, the ordinairiates have already been established and soon will be in the United States.
in america, the episcopal church was started because during the revolutionary war, they did not want to be aligned with the church of england. the episcopal church here allows female priests and gay bishops - male and female. this caused a split here in america and some churches had many members of their congregations leave and form anglican churches which are usually under bishops in africa.
it is all very complicated. at one time, one of the Popes (i cannot remember which one)
called the anglican communion, the sister church. however, that was long ago.
hope this helps some.