The following are recommended readings for those wanting to learn more about Catholic Anglicanism.
The 1928 American Book of Common Prayer is the edition most commonly found in Anglo-Catholic parishes throughout America. Based heavily on the 1662 that came before it, the 1928 reflects a more thoroughly catholic ordering of services, while still staying true to the Anglican way as reflected in the original 1662 edition.
To Be a Christian: An Anglican Catechism. This catechism lays out a very general overview of basic historic Christian belief, set forward in an Anglican context. It is the approved catechism of the Anglican Church of North America (ACNA).
Deep Anglicanism: A Brief Guide by Gerald McDermont is an excellent introduction to Anglican belief, practice, and distinctive approaches to theology. It is one of the best contemporary apologetics for the English Catholic Church and even shows the benefits of Anglicanism over and against Roman Catholicism and Eastern Orthodoxy.
An Apology of the Church of England by Bishop John Jewel in the 16th century is quite simply the best apologetic defense of Anglicanism, especially against the claims of the Roman Catholic Church, and remains untouched by most contemporary efforts.
The Catholic Religion by Vernon Staley is an Anglo-Catholic classic that walks through the doctrine of the Anglican Church, proving it to be both patristic and catholic. This is the gold standard Anglo-Catholic text.