Eric Herschtal, in his review of James MacGregor Burns's Fire and Light: How the Enlightenment Transformed Our World, laments the lack of "good recent scholarship" on the Enlightenment "that American historians can readily incorporate into their work."
I respectfully disagree. Although there have not been many general overviews of the Enlightenment in America since the publication of Henry May's The Enlightenment in America, the last two decades have seen some excellent reassessments of the Enlightenment in America. Here are some:
Ned Landsman, From Colonials to Provincials: American Thought and Culture, 1680-1760. This is in the most accessible treatment of the Enlightenment in America I have ever read and I am not just saying this because Ned was my doctoral adviser.
Robert Ferguson, The American Enlightenment, 1750-1820. Another very accessible survey.
Richard D. Brown, Knowledge is Power: The Diffusion of Information in Early America
Nina Reid Maroney, Philadelphia's Enlightenment, 1740-1800: Kingdom of Christ, Empire of Reason.
Mark A. Noll, Princeton and the Republic, 1767-1822: The Search for a Christian Enlightenment in the Era of Samuel Stanhope Smith
Alan Houston, Benjamin Franklin and the Politics of Improvement
The essays in Richard Sher and Jeffrey Smitten, ed., Scotland and America in the Age of the Enlightenment
James Delbourgo, A Most Amazing Scene of Wonders: Electricity and Enlightenment in Early Amercia. (Herschtal does mention this book).
Richard Bushman, The Refinement of America. Most would not say this is a book about the Enlightenment. Though Bushman never uses the "E" word, I think this book is all about the social world of the Enlightenment.
Michael Winship, Seers of God: Puritan Providentialism in the Restoration and Early Enlightenment
Douglas Anderson, The Radical Enlightenments of Benjamin Franklin
Jose Torre, Enlightenment in America, 1720-1825
David Jaffee, "The Village Enlightenment in New England," 1760-1820," William and Mary Quarterly (July 1990), 327-346
Steven Bullock, Revolutionary Brotherhood: Freemasonry and the Transformation of the American Social Order, 1730-1840
John Corrigan, The Prism of Piety: The Catholick Congregational Clergy at the Beginning of the Enlightenment
Mark Spencer, David Hume and Eighteenth-Century America
And dare I add, John Fea, The Way of Improvement Leads Home: Philip Vickers Fithian and the Rural Enlightenment in Early America.