As of now, I don't know a whole lot so I'm looking for something introductory and simple to follow.
Yes, I know of several, hopefully these cover a variety of topics of interest to you:
John Julius Norwich, "A Brief History of Byzantium" (General History, pretty cheap and easy to get)
Williams and Friell, "The Rome that did not Fall: The Survival of the East in the Fifth Century." (Argues why the East survived and the West fell, and shows the continuity of the Roman Empire)
Decker, "The Byzantine Art of War" (Great introduction to the Byzantine Military)
Decker, "The Byzantine Dark Ages" (Great monograph on the archaeology of the transitional period of Byzantium from the 600's-800's, particularly the transition from urban to rural culture, and also a historiographical piece in some way, arguing how poorly studied this era is and the need to study it further)
Haldo, "The Empire that Would not die" (Monograph on the reason the Empire survived from 640-740. Very, very, very detailed, complex, and in-depth, but at the same time straightforward and readable. Fantastic book).
Dimitri Obolensky, "The Byzantine Commonwealth" (argues that Byzantium was more akin to a Commonwealth than an Empire, there's another one like it, more modern by Anthony Kaldellis, called the "Byzantine Republic" that argues a similar theme)
Dawson, "By the Emperor's Hand" (Great book on Byzantine Clothing)
Haldon, "A Social History of Byzantium" (Self explanatory)
Haldon, "The Byzantine Wars" and "Warfare, State, and Society in the Byzantine World" (Self-explanatory)
Pretty much anything else by John Haldon, actually.