The Alexiad (Greek: Ἀλεξιάς) by Anna Comnena, is a history of the Byzantine Empire during the reign of her father Alexios I Comnenus from 1048-1118. Written in around 1148, it is significant as an important source for the period leading up to the First Crusade, and as one of the earliest historical works by by a woman.
Free online texts
Fordham University Medieval Sourcebook: The Alexiad, translated by Elizabeth A. Dawes (1928). HTML format.
Wikisource: The Alexiad, translated by Elizabeth A. Dawes. HTML and other formats.
York University: The Alexiad, translated by Elizabeth A. Dawes. PDF format.
Greek Wikisource: Αλεξιάς. HTML and other formats.
History of Philosophy Without Any Gaps: 312 - Past Masters - Byzantine Historiography | 313 -Queen of the Sciences - Anna Komnene and her Circle. Podcasts by Peter Adamson.
The Great Conversation: Further reading at Tom's Learning Notes
Michael Psellos: Chronographia - used by Comnena as a source.
Nikephoros Bryennios: Material for a History