I am also curious to see your Byzantines if you have already made some!
Sorry, I've got Late Roman- Western empire.
TBH, these differ little from Late Roman -Eastern empire which, of course, morphed into Byzantines.
C4th & C5th is the time frame I want to cover.
However, you will be pleased to know I've just bought a unit of LR heavy mounted archers.
When I've painted them (they're next in the queue) I'll try them out brigaded with cataphracts to see how they perform in a miniature battle.