This is an excellent series of five mystery novels featuring the couple David Middleton-Brown and Lucy Kingsley. Each novel deals with a particular aspect of the Church of England. Although the series is mostly out of print, copies are available from third-party sellers. The author has continued writing (next page) about the church in several stand-alone novels and a new series concerning Anglican cleric Callie Anson (Evil Intent, Secret Sins, and Deep Wasters).
Another great series abourt the Church of Engliand is The Starbridge Series by Susan Howatch which is centered around a church inspired by Salisbury Cathedral.