The 1662 Book of Common Prayer International Edition

The Christian Life
Knowing God by J.I. Packer
Mere Christianity by C.S. Lewis
Gentle and Lowly by Dane Ortlund
Formed for the Glory of God by Kyle Strobel
The Prodigal God by Timothy Keller
Ordinary: Sustainable Faith in a Radical, Restless World by Michael Horton
The Whole Christ by Sinclair Ferguson
The Cross of Christ by John Stott

Anglicanism
Anglicanism: A Reformed Catholic Tradition by Gerald Bray (this is a good introductory book)
Reformation Anglicanism edited by Ashley Null & John Yates
The Heritage of Anglican Theology by J.I. Packer (more advanced but highly recommended)
Knots Untied by J.C. Ryle

The Bible
God Has Spoken: Revelation and the Bible by J.I. Packer
Taking God at His Word by Kevin DeYoung

Evangelism and Apologetics
The Reason for God by Timothy Keller
Making Sense of God by Timothy Keller
Evangelism and the Sovereignty of God by J.I. Packer
Strange New World by Carl Trueman

Theology
Concise Theology by J.I. Packer
Pilgrim Theology by Michael Horton
The Institutes of the Christian Religion by John Calvin