The beliefs of Anglicans can be considered quite diverse. The official standard is the Book of Common Prayer but some parts of that book are more clearly doctrinal than others. The Catechism of the Episcopal Church USA summarizes the faith in question-and-answer format.
The ecumenical creeds, both Nicene and Apostles, are used by the Anglican Communion in its worship day by day and week by week. They are ancient and universal statements of Christian faith. In addition, many Anglican churches follow ancient tradition and include the Athanasian Creed [background, text] among their statements of faith.
The Episcopal Diocese of Texas offers an 'Anglican primer' online, and you might like to look at the sections on Scripture, Tradition, and Reason in the Church; The Book of Common Prayer; The Sacraments; The Creeds; and 'Being Episcopalian'. This latter section is directed particularly to people in the USA wondering about the Episcopal Church.
Another very important ancient statement of faith is the Chalcedonian Formula [background, text] which defined the limits of Christological orthodoxy.
The Chicago-Lambeth Quadrilateral [background, text] describes the general ecumenical principles of Anglicans.
The Thirty-Nine Articles were important at the Reformation, but are less so today.
The BBC World Service has produced a Basic Christianity web page that is well done, though not specifically Anglican.
A Beginner's Guide to the Anglican Church. You'll find the basics of Christian belief, Anglican understanding, what happens in church, and a brief glossary of terms. The Beginner's Guide is from the Church of St John the Evangelist, Roslyn, New Zealand, but is general enough to be useful throughout the communion.
Thanks to Anglicans Online for the above content.
Twenty-One Things Most Episcopalians Believe:
1. As a diverse bunch of thinkers and believers, most Episcopalians will want to add or subtract from what follows. So this list isn't the last word!
2. Together with Christians of many denominations we are all members of the true church.
3. "God is closer to us than we are to ourselves" --St. Julian of Norwich. God is also “wholy other”, beyond our knowing. We live in this paradox.
4. God is manifested vividly, fully, compellingly, in Jesus of Nazareth, who lived, taught, healed, proclaimed a new commonwealth, was killed, and was raised to life. He is God’s “Word” made flesh.
5. Jesus remains among us to invite resurrection from the many forms of death around us and in us, and to offer us the gift of life.
6. Evil is real. We are capable of doing evil. In our baptism we renounce it. God transforms evil into his own good and gives us the will and strength to transform it in ourselves and the world.
7. Community with Jesus as the center, grounded in the life of God, enlivened by the Spirit, is a gift. The institutional church is a major way that community is accessible to us.
8. Christian community becomes what it is in sacramental acts -- specific, tangible, material things in which the mystery of God’s love is made known to us, especially in Baptism and the Lord's supper.
9. The worship of the community involves everyone and is the offering of the special gifts of each.
10. Christian community does not exist for itself, but to invite the transformation of the world.
11. We strive to be a community in which we have “in all things essential, unity; in all things non-essential, diversity; in all things, charity.”
12. The full participation of women in all aspects of the church and the honoring of their gifts is something the Spirit requires of us. There is no place in the church which is not women's place.
13. Friendship with God and God's people is serious, but it is held lightly in joy. Play is as religious as work.
14. On the whole, truth is likely to be found more in what is affirmed than in what is denied and more in "both/ands" than in "either/ors". So black and white thinking and thinking dominated by negations is often resisted as unhelpful.
15. Institutions are necessary, but should be kept in the service of community, not the other way around. The kinds of hierarchy which remain part of church life exist to serve the people of God, not to dominate them.
16. The Scriptures speak God's truth with special power and are God's Word. Simplistic and literalistic interpretations may miss the point of what God says to us.
17. Tradition is a treasure through which we can discern God's future, not something with which to enshrine our past. There is much rich insight in the tradition which helps us to look forward to God's future.
18. Reason is a gift. We should accept it even in religious matters. We affirm the importance of an ongoing conversation between the voices of faith and those of science, art, culture, economics and public life.
19. Friendship with God is acted out mostly in our daily lives in what we do, with few pronouncements.
20. Anyone who claims to speak for God should do so only after listening in much silence.
21. Some of us know conversion as a specific, sudden experience. Most of us know it as a life-long process. Those who know it as a specific experience find that it is authenticated in a life-long process of growth.
This statement is a revised and edited form of a statement first written by the Rev. Canon Ronald Osborne of Des Moines, Iowa, who we thank for his contribution.
