Below is a list of historic writings from the Early Middle Ages!
Orosius
The Seven Books of History Against the Pagans (c. 416 - 417 CE)
Socrates of Constantinople
Historia Ecclesiastica (c. 439 CE)
Zosimus
New History (c. 440 - 450 CE)
Sozomen
Ecclesiastical History (c. 443 - 450 CE)
Theodoret
Ecclesiastical History (c. 449 - 450 CE)
Justinian I
The Justinian Code (c. 528 - 534 CE)
Cassiodorus
Variae (c. 537 - 538 CE)
Procopius
History of the Wars (c. 545 - 554 CE)
Secret History (c. 550 - 558 CE)
On Buildings (c. 554 - 555 CE)
Anonymous
Life of Theoderic (c. 550 CE)
Jordanes
Getica (c. 550 - 551 CE)
Romana (c. 551 - 552 CE)
John Malalas
Chronographia (c. Mid - 6th Century CE)
Agathias of Myrina
Histories (c. 570 CE)
John of Ephesus
Ecclesiastical History (c. 580 CE)
Evagrius Scholasticus
Ecclesiastical History (c. 593 CE)
Isadore of Seville
Etymologiae (c. 615 - 630 CE)
History of the Kings of the Goths, Vandals and Suevi (c. 624 CE)
Anonymous
Chronicon Paschale (c. 630 CE)
Bede
Ecclesiastical History of the English People (c. 731 CE)
Anonymous
The Royal Frankish Annals (c. 741 - 829 CE)
Theopanes the Confessor
Chronographia (c. 810 CE)
Einhard
Life of Charlemange (c. 817 - 830 CE)
Multiple Authors
Anglo-Saxon Chronicle (c. 890 CE)
Liutprand of Cremona
Antapodosis (c. 958 - 962 CE)
Historia Ottonis (c. 958 - 962 CE)
Embassy to Constantinople (c. 958 - 962 CE)
Widukind
Deeds of the Saxons (c. 967 - 973 CE)