Lauren Haney: Lieutenant Bak mysteries. Ancient Egypt

Paul Doherty/P.C. Doherty: Lord Amerotke mysteries. Ancient Egypt

Lynda S. Robinson: Lord Meren mysteries. Ancient Egypt

Lindsey Davis: both the Falco and Flavia Albia series. Ancient Rome

Elizabeth Peters: Amelia Peabody mysteries. Victorian

I'd definitely recommend The Tainted Cup by Robert Jackson Bennett! Also The Bone Orchard by Sara A. Mueller, and Saad Z. Hossain's books as well; my faves are Djinn City and Cyber Mage.