All the lists you’ll need can be found in the second version of Armies of Antiquity.
Plus the books mentioned above for V1.
AoA V2 does have a different points structure to books from the earlier period, but provided you don’t mix the two, you’re fine.
Shameless plug,
I’m running an event next spring which involves the rise of the Mongols and naturally all the peoples they came into combat with.
We’ll be using V2 of the rules and a big list of armies from AoA2.
Korean
Steppe Nomads
Tibetan
Japanese
Seljuk Turk
Ghaznavid
Song China
Polish
Hungarian
Khwaresmian
Crusaders
Russian
Ordensstaat
Baltic Pagans
Mongols
Muslim Indian
Hindu Indian
Mameluke
Baltic States
Timurid
Ottoman Turk
NEW LIST,
Burmese