Many intro works on analytic theology can apply for analytic philosophy. They teach you the same type of moves and analysis.
Beginner
Abraham, William.
Analytic Theology: A Bibliography.
Read it for free here.
Clark, Kelly James.
Return to Reason. Good critique of the Cliffordian evidentialism.
Crisp, Oliver.
Retrieving Doctrine. Focused on topics in Reformed theology, but employs the analytic method. Very
accessible.
McCall, Thomas.
Invitation to Analytic Theology. It’s exactly what it says. The book was a treat to read.
Morris, Thomas V.
Our Idea of God. Good primer on how to think about God from an Anselmian perspective.
Intermediate
Crisp.
An American Augustinian. A leading analytic theologian meticulously examines WGT Shedd’s unique theology.
Crisp and Rea.
Analytic Theology: New Essays in Philosophy of religion. Some essays are classic. Others are meh.
McCall, Thomas.
Which Trinity? Whose Monotheism? Have you ever come across an idea and despite its initial plausibility, it seemed off? This book will show you why.
Plantinga, Alvin.
God, Freedom, and Evil. The layman’s version of
Nature of Necessity.
Nash, Ronald.
The Concept of God. Nash took Plantinga’s
Nature of Necessity and made it accessible for dummies like me.
Advanced
Moreland and Rae.
Body and Soul. Fantastic defense of substance dualism. Moreland writes with Kingdom Power.
Morris, Thomas V.
The Logic of God Incarnate. Probably the most important book on Christology in the last 30 years.
Plantinga, Alvin.
Does God Have a Nature? A critique of some versions of Thomism. Still not sure what Plantinga’s conclusion was.
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God and Other Minds. Good discussion of natural theology.
Richards, Jay Wesley.
The Untamed God. Magnficent defense of essentialism.