Kristen beat me to suggesting the Melinkoff/Gieskes volume, which is really the place to start, especially their excellent “Recent Studies” chapter. Many of the contributors to that volume also have larger projects that consider Greene, including me, Lori Newcomb, Rob Maslen, and Katharine Wilson. Kristen is right also about the University Wits series. On pre-1592 theater, I’d suggest looking at Andy Kesson’s work: his book is mainly on Lyly (John Lyly and Early Modern Authorship), but I know he’s working more broadly now on early Elizabethan drama.