I am not an expert in analytic theology, and I have been critical of analytic philosophy in the past. Nonetheless, it can be useful in clarifying concepts. One problem is that people jump into the deeper waters, reading countless computer symbols and the analytic guys never bother to clarify what’s going on. I’ll try.
Beginner
McCall, Thomas. Introduction to Analytic Theology. It is what the title says. He introduces some key concepts but doesn’t really get beyond Leibniz’s Law. Still, anything McCall writes is worth getting.
Moreland, JP. Love Your God with all your Mind. What would it look like if you applied analytic reasoning to the development of the soul?
Morris, Thomas V. Our Idea of God. He doesn’t call it analytic theology, but it is an early essay into how it is done. Wonderfully accessible.
Nash, Ronald. The Concept of God. Kind of a simplified version of Plantinga’s Does God have a Nature? Some great responses to open theism.
Clark, Kelly. Return to Reason. This is the unsung volume in apologetics.
Intermediate
McCall, Thomas. Which Trinity? Whose Monotheism? Not primarily analytic theology, per se, but it is a great application of analytic theology.
Crisp and Rea, Analytic Theology: New Essays. Some outstanding essays, some bleh. Sadly, Rea, Wolterstorff, and possibly stump have surrendered the field on sexual ethics.
Craig and Moreland, Philosophical Foundations for a Christian Worldview. Somewhat technical, but simply grand.
Moreland and Rae, Body and Soul. Outstanding defense of substance dualism. Moreland writes with Kingdom Power.
Moreland, JP. Kingdom Triangle. Triangulates (sorry) analytic theology with continuationist theology.
Morris, Thomas V. Logic of God Incarnate. Rescues Christology from the contradiction charge. Several very important concepts introduced.
Plantinga and Wolterstorff. Faith and Rationality. Almost as important historically as it is philosophically.
Richards, Jay Wesley. The Untamed God. Introduces modal concepts and show where they advance beyond Aristotle.
Advanced
Kripke, Saul. Naming and Necessity. Some technical chapters, but a mostly accessible work on language and possible worlds.
Lewis, David. Counterfactuals. Very difficult, but Lewis does walk you through his method, so it is readable.
Plantinga, Alvin. Nature of Necessity. One of the most important philosophy works in the last century. Possible Worlds matter.
———–. Does God Have a Nature? Plantinga got accused of denying simplicity in this book. I never saw where he did so. Great primer on how to do analytic theology.
———–. Warrant and Proper Function. Clears up a lot of (perhaps deliberate) misunderstanding on what Plantinga means by “warrant.
———. Warranted Christian Belief. Application of his previous two books.
Logical Investigations 
Thanks for the list. On Platinga’s “Does God Have a Nature?”, he doesn’t come out and say “I reject simplicity.” However, it sort of implied throughout the work. He continually talks of God’s having properties. That God’s attributes (or properties) cannot be identical with one another. To me, the work is a grandiose exercise in showing the incompatibility of Plantinga’s ontology with a certain account of divine simplicity. Safe to say, I agreed with the conclusion, but it had no bearing on whether simplicity is true or not.
Analytics, unfortunately, in order to converse with other analytics have muddled some terminology. Classical theists like to talk about God being a person. Or in the case of God, speaking of God “having properties.” ~(Attributes=properties).
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