But what is omitted from this canon of Puritan literature [by the Banner of Truth –DHC] is just as revealing as what is included.
Missing are the doctrinal works of Richard Baxter that promote a ‘neonomian’ doctrine of justification, a Grotian theory of atonement, and a minimalist, ecumenical creed; the writings of Roger Williams, who believed that the restoration of true churches would have to await the emergence of end-times apostles; the works of John Milton, the great Puritan poet, who defended divorce, freedom of the press and regicide, and was almost certainly Arminian and anti-trinitarian in his later life; the political writings of the Levellers, including the separatist John Lilburne and the Baptist Richard Overton; the Arminian works of John Goodwin, one of London’s lading Puritan pastors in the mid-seventeenth century; the visions of prophetesses like Anna Trapnel; the antinomian tracts of influential figures like Tobias Crisp and John Eaton; the scores of books published by the General Baptists.
[John Coffey, “Puritanism, Evangelicalism and the Evangelical Protestant Tradition,” in Michael A.G. Haykin and Kenneth J. Stewart, eds., The Advent of Evangelicalism: Exploring Historical Continuities (Nashville, TN: B&H Academic, 2008), 261]
What is Puritanism? The movement promoted by Martin Lloyd Jones and then the Banner of Truth Trust is called "neo-Puritianism" only because it seeks to recover the "Puritans" for today, yet they choose and select only the works they think are worthy to be reproduced. That is certainly good in a certain sense, since not everything that the Puritans wrote were good. Yet, if someone were to derive their knowledge of who the Puritans were and what Puritanism was about purely from the Banner of Truth republished books, they would probably not get an accurate understanding of what Puritanism actually is.
Thus, many people might have the idea that Puritanism is about moving deeper into godly living based upon true doctrine. In other words, now that the first and second generation Reformers have gotten the Gospel right, subsequent generations of believers in the Reformed Church, both the Puritans and the Dutch Further Reformation, were all about working out how to apply the orthodox Gospel in godly piety. Certainly, nobody would want to minimize the doctrinal advancement of subsequent generations of the Reformed Church on doctrine, but rather the impression is given that the focus of such subsequent movements in Puritanism was on practice and piety. Thus the question was, "Having gotten justification by faith right, what things ought to be done in order that we might live to glorify God?"
Such a portrait of Puritanism is however wrong. On the one hand, Puritanism is a much more diverse movement, and Anglicans like Archbishop James Ussher are doctrinally in the Puritan camp. Thus, it is not true that Puritanism was all about godly living. Rather, the only thing that can be said definitively about Puritanism is that it was committed to further reform of the Church [Crawford Gribben, The Puritan Millennium: Literature and Theology, 1550-1682 (Studies in Christian History and Thought; Eugene, OR: Wipf and Stock, 2008), 8], not that it was about godly piety. Neo-Puritanism may be good for the church, but it is not the same as Puritanism. Again, the republished books by Banner of Truth Trust are good and edifying, but they cannot be counted on to accurately portray what Puritanism actually is.
On the other hand, it is a terrible historiography to sharply dichotomize between the first generations of Reformers and their spiritual heirs, as if they have radically different emphases and focuses. Luther and Calvin were concerned with godly living too (Luther against the Fanatics, and Calvin against the Libertines), while the Puritans of Reformed convictions were concerned about doctrine too (against Arminianism and Socinianism). It is not accurate to say that the Reformers reformed doctrine, while the Puritans reformed piety. Certainly, times change and challenges differ, but both the Reformers and the Puritans were resolute in combating both false doctrine and impiety. There is after all no true separation between right doctrine and godly living. Those who have one without the other are defective in both at best.