There has been a steady flow of publications of recent research on the Greek of the New Testament. A lot of work has been done particularly in the area of applying insights gained from theoretical and applied linguistics to the study of the Greek of the New Testament.

If you are looking to get up to speed on recent research in this area first two books to read should be the following:

1. Advances in the Study of Greek: New Insights for Reading the New Testament by Constantine R. Campbell (Zondervan 2015).
2. Linguistic Analysis of the Greek New Testament: Studies in Tools, Methods, and Practice by Stanley E. Porter (Baker Academic 2015).

These are both intermediate level books that will get you up to speed on Greek studies.

Here are the chapter titles for Campbell’s book:

• A Short History of Greek Studies: The Nineteenth Century to the
  Present Day
• Linguistic Theories
• Lexical Semantics and Lexicography
• Deponency and the Middle Voice
• Verbal Aspect and Aktionsart
  
• Idiolect, Genre, and Register
• Discourse Analysis I: Hallidayan Approaches
• Discourse Analysis II: Levinsohn and Runge
• Pronunciation
• Teaching and Learning Greek

The book is very helpfully organized. Campbell does an excellent job of boiling down the complex and confusing relationship between various schools of thought and different approaches on each topic. The book should be required reading for students studying Greek. Call me a nerd but I found it hard to put the book down I was enjoying it so much.

Porter’s book is a bit more rigorous and consequently demands a slower read. But don’t
mistake me, it is well worth it.  Porter is stronger on the theoretical side of things than he is on the application (i.e., exegesis of specific texts), in my opinion anyway. But the real strength of this book is the broad coverage of topics at the interface between linguistics and Greek studies.

Here are the chapters:

• Who Owns the Greek New Testament? Issues That Promote and Hinder Further Study
• Analyzing The Computer Needs of New Testament Greek Exegesis
• “On the Shoulders of Giants”: The Expansion and Application of the Louw-Nida Lexicon
• Linguistics and Biblical Interpretation
• A Multidisciplinary Approach to Exegesis
• Sociolinguistics and New Testament Study
• Discourse Analysis: Introduction and Core Concepts
• The Ideational Metafunction and Register
• Time and Aspect in New Testament Greek: A Response to K.L. McKay
• Three Arguments regarding Aspect and Temporality: A Response to Buist Fanning, with Excursus on Aspectually Vague Verbs
• The Perfect Tense-Form and Stative Aspect: The Meaning of Greek Perfect Tense-Form in the Greek Verbal System
• A Register Analysis of Mark 13: Towards a Context of Situation
• The Grammar of Obedience: Matthew 28:19-20
• Verbal Aspect and Synoptic Relations
• Study of John’s Gospel: New Directions or the Same Old Paths?
• Method and Means of Analysis of the Opponents in Pauline Letters
• 1 Timothy 2:8: Holy Hands or Holy Raising?
• Greek Word Order: Still an Unexplored Area in New Testament Studies?
• Proper Nouns in the New Testament
• Hyponymy and the Trinity

Porter’s book demonstrates that those who assume Greek studies have come to a plateau, with nothing new to learn or discover, are wrong. With the tools and resources available today we are in a much better position to make advances in these areas than we were a generation ago. Most of the chapters were originally delivered at conferences (e.g., Society of Biblical Literature, Society for New Testament Studies, etc.), although none of them has been previously published. This book is a must read for anyone who desires to read the Greek New Testament with nuance and precision.