What is the faith of an Anglican?
Although the Anglican Communion is a distinct body of Christians, we do not have a distinct body of doctrine. The faith of an Anglican is the faith of the Christian Church. We call this the "catholic faith". Catholic means "whole", so the catholic faith is the faith that is held in common by the whole church, both Protestant and Roman Catholic, both Western and Eastern, both ancient and modern.
This is faith in God the Blessed Trinity, and faith in Jesus Christ as the Incarnate Son of God, and our Savior. It is faith in the Church as the Body of Christ, proclaiming His Gospel, and doing the deeds of mercy and lovingkindness. It is faith in the Holy Bible as the Word of God, teaching everything we need to know for salvation. It is faith in the Sacraments of the Church as true means of grace, nourishing the souls of God's people.
Sometimes the faith of an Anglican is summarized as the "Lambeth Quadrilateral", which includes:
1. The Holy Scriptures, as containing all things necessary to salvation;
2. The Creeds (specifically, the Apostles' and Nicene Creeds), as the sufficient statement of Christian faith;
3. The Sacraments of Baptism and Holy Communion;
4. The historic episcopate, locally adapted.