Ok here are the stats I came up with. As (again) an example I will use Rome or Rome-like environment.
First there are family stats. These are the player stats. They should inuclude names (player, hero(?), family name), number of family members (that you can rely on totally) and wealth. Wealth could include a number of things. Wealth can be actual money, luxuries or luxurious goods, companies owned or trade posts owned. Wealth can also include other goods that a family posesses including weapons. As for governmental posts I think 1 name should be able to occupy all family posts. No need to introduce 10-15 different PC controlled people, unless for the storyline. In Rome some people occupiede more than 1 posts. Or just say a certain posts belong to X family.
City Stats:
There would probably be a lot of cities and small villages on the map. Each settlement should (IMO) have borders that this city controlles (outside walls) and these could be changeable by peace treaties. Now to stats:
First: population. Population could include ethnicity and/or social status (slaves, plebs, patricians etc).
Second: Goods produced. There are a ton of goods that can be important for gameplay. Virtually any of the following: foods (vegetables, meat, fish), luxiries, weapons, commodity goods, construction material (wood, rock), wine etc.
3. Military: each city harbors or makes a garrison. Here stats could be: number of men (ethnicity), weapons avaliable, armour avaliable, free weapons and armour, siege engines, ships (?)
Treasury: everything that a city has
Buildings?
Army stats:
A special post should be reserved in the beginning for field armies. Each army gets one "stat group" (like a country under NPCs)
Here stats should be:
- number of men (ethnicity(?)): warriors, helpers+equipment (weapons, horses)
- commanders (family commands part of the army)
- army storage: food to feed the army, plundered stuff
Former camps and armies should appear on the map
Government:
There should be a post for laws adopted and a post of current families occupying govt. posts. Somewhere also should be written "powers and responsibilities of such and such post". Those cound change as well.
Map
Should as I already said be very detailed and big scale.
Physical features: rivers, mountains,forests
Man made: Cities, fortifications, armies, roads
Other: city borders, ruins (?), diffent important buildings like oracles or temples
We could also add farms and outside the city factories or estates.
Other states and our state
should have a post with their stats, but those should have less stats and be changed less frequently. They should have parameters like our state adn some stats of big cities
Our state would be the capital so "Capital stats" would also be the city stats as all our small cities are in theory just allied to us.
Thats about all

. Of course this is a draft and thats how
I picture this game in ideal setup. Not going to come out like that 100%. So I welcome your ideas and views. I just posted this to get the feel of what kind of stats might be there.