There are three general histories of classical scholarship in English; all now out-of-date, but still very useful:
The Oxford Encyclopedia of Ancient Greece and Rome (Oxford, 2010) and Brill's New Pauly (Brill, 2002-), especially the supplements, includes articles on important topics and figures in the history of classical scholarship.
Also very useful is L. D. Reynolds and N. G. Wilson's Scribes and scholars : a guide to the transmission of Greek and Latin literature 4th edition (Oxford University Press, 2013)
The history of classical scholarship has often focused on the lives and individual achievements of prominient classicists.
Philologische Biographien (Teuchos) a database based on Eckstein and Pökel.
Classical periodicals will often contain obituaries of recently deceased classicists. They were a regular feature of "Bursian's" Jahresberichte über die Fortschritte der classischen Altertumswissenschaft (1873–1956), and continue in Gnomon (1925–) now in JSTOR. Additional material can be found in L'Année Philologique indexed by the subject heading X.Festschriften and Proceedings D. Personalia (beginning with volume 67, before that under X.Festschriften and Proceedings: Necrology.)