Obviously, there's a reason for that, but I still think Anglicanism has some form of traditional centering theology that is broadly Augustinian, while embracing insights from the Eastern fathers, Lutheranism, and the conservative side of the Reformed tradition including John Calvin and Martin Bucer. Or maybe I, like pretty much every other person who likes Anglicanism in one way or another, am imputing my own theological preferences onto it.
I think that this is pretty accurate to an extent. The Church in England is unique and has a unique history that has been shaped and influenced by several different theologians and movements spanning the centuries. There has been a Church in England at least since the 3rd century, though some give it the "formal" date of the mission of St. Augustine of Canterbury. During that time it has been influenced by various people/movements (Celtic Christianity, Augustinianism, and so on). I would argue that some of the underrated influences on the English Church and on English spirituality are Benedictinism, St. Julian of Norwich, and St. Anselm of Canterbury. The English Church has also been influenced by Roman Catholicism, the Eastern Orthodox, the reformers of the 16th-18th centuries, and by the Oxford movement and ritualist movements of the 19th and 20th centuries.
I think a lot of the conflict comes from those who wish to impose their view of Anglicanism and the English Church on the whole of the Communion. Given the history of the Church in England, it becomes quite easy for one to find support in the history of the English Church for promoting their beliefs. In the end, it is almost impossible to "peg" Anglicans down as being either this or that. Even if one thinks of themselves as a "classical" Anglican, that can be hard to peg down as well. Classical Anglicanism, despite the influences, isn't Calvinism, Catholicism, or Lutheranism. Rather, it is something quite unique.
Today, I think that the largest number of parishes are somewhere in between Catholic and Protestant, with some leaning in one direction or the other. The majority of parishes also practice a liturgy that combines elements of both the high and the low church movements.
I would recommend these books:
The Rule of Benedict
Complete Works of Julian of Norwich
Complete Works of Anselm of Canterbury
The Benedictine Parish by Akenside Press
Anything by Martin Thorton
The Book of Common Prayer ('79 BCP if Episcopalian, I also recommend the '28 BCP)
Why Study the Past? and Anglican Identities by Dr. Rowan Williams
