If you're into wargames / tactics / strategy (sounds like it, from your list), you might want to take a peek at the offerings over at Matrix Games:

http://www.matrixgames.com/

I notice in your opening post that you list Field of Glory. An expansion for Field of Glory II is shown right now on their main page, so maybe you're already aware of Matrix Games? If not, I bet they have at least a few titles that fit your criteria.

http://www.matrixgames.com/products/651/details/Field.of.Glory.II

Yes, yes, it's my longing and my yearning... :) But Slitherine doesn't know what regional pricing is, and the price for Russia is quite steep for me. It would need to save up some gold to me to afford FoG2.

A little update:

Magic and Mayhem and its sequel.

Depths of Fear: Knossos

Minotaur

Tauronos

Theseus: Journey to Athens

Another little update:

Minos Strategos

Battles of the Ancient World

Ancient Battle: Alexander

Ancient Battle: Hannibal

Ancient Battle: Successors

Some have probably already listed these (sorry), but off top of my head

Warriors Legends of Troy

Spartan Total Warrior

Assassin's Creed Origins

Assassin's Creed Odyssey

I recommend two games:

Ancient Battles

Ancient Battles is a precursor to Great Battles and Field of Glory. It may be a bit dated by today's standards, but it's still fun to play on dosbox.

The second game is Annals of Rome

Annals of Rome (from 1986) is apparently available on Steam, but not here on GOG, which is ironic since it fills every definition of a Good Old Game.

Please vote for them to become available at GOG:

Ancient Battles

Annals of Rome

7 Grand Steps: What Ancients Begat is a game where you manage a family climbing higher in society through the ages and generations.

Chariots of War

https://en.wikipedia.org/wiki/Chariots_of_War

Already mentioned in the first post. One of my favorites in strategy department. We need more games dedicated to the Late Bronze Age and ancient civilizations of Near East.