I am going to compile a list of Byzantine related primary sources with available English translations. I will keep adding sources here. If you see one I am missing, feel free to let me know so I can add it!
The History of Michael Attaleiates(written in 11th century)
Two Works on Trebizond by Bessarion and Michael Panaretos (written in 14th and 15th centuries)
John Skylitzes: A Synopsis of Byzantine History(written in 11th century)
The Alexiad of Anna Komnene(written in 12th century)
The Chronicle of Theophanes (written in 9th century)
The Strategikon(written in late 6th century)
The Chronographia of Michael Psellos (11th century)
The Secret History of Prokopios (6th century)
The Wars of Justinian by Prokopios(6th century)
The History of Leo the Deacon: Byzantine Military Expansion in the Tenth Century
Geoffrey de Villehardouin’s Chronicle of The Fourth Crusade and The Conquest of Constantinople
shadowsofconstantinople.com 