In William Shakespeare's play "Henry VIII," the character of the Archbishop is Thomas Cranmer. He serves as the Archbishop of Canterbury and plays a significant role in the narrative, particularly in relation to the marriage of King Henry VIII and Anne Boleyn. Cranmer is depicted as a loyal supporter of the king and is involved in the religious and political changes of the time, especially concerning the Church of England's break from the Roman Catholic Church. His character reflects the complexities of the Reformation and the shifting allegiances of the period.