I don't think that there is a shortage of books on "recent" history of mathematics - if anything, the growth has been exponential here as well! There are many recent books dealing with more specialized areas written by eminent scholars, e.g.

Charles Curtis, Pioneers of representation theory: Frobenius, Burnside, Schur, and Brauer

Armand Borel, Essays in the history of Lie groups and algebraic groups

Thomas Hawkins, Emergence of the theory of Lie groups. An essay in the history of mathematics 1869–1926

and, although this is not a book on history of mathematics as such, the erudite

Marcel Berger, A panoramic view of Riemannian geometry

Among broader views, I enjoyed reading

Piergiorgio Oddifreddi, The mathematical century. 30 greatest problems of the last 100 years

The four-color problem, Kepler's conjecture, and the Monster have all been featured in popular mathematics books.