There was this title, that was supposedly operational in scope, but I have not played it personally and there are too few opinions to really gauge what is the real quality.
According to the reviews, it plays more like a Panzer General without unit carryover.
This one seems to be an interesting take on the mercenary company idea. Still not operational, but it looks to be larger scale than the usual Battle Brothers wannabees:
This one seems to be a faithful port of a medieval themed board wargame:
I have played neither version, though, but I considered getting the board game until I realized there is no way I can play games that feature any kind of diplomacy with my group.
Also from Avalon Hill, Richards 3 is a 1v1 strategic wargame about the War of hte Roses. It is a block game, which means that you get some heavy fog of war element, but it obvious has a very simplified battle resolution system.
I haven't tried this one in particular, but after having played wargames and board games with blocks (or face down counters), I cannot imagine going back to games that let you see all of your opponent moves on the strategic level (obviously, it is the default for PC games, but relatively few board games have hidden information).
Not a wargame at all, and you probably played it already. The tactical layer is terribly simplistic, but the strategic one made logistics pretty important. Iirc, your troops would feed off the land unless you sent supply carts with your troops, resulting on peasants become hungry and angry (which could be the point, if they are stationed in your opponent's demesne):
https://af.gog.com/en/game/lords_of_the_realm_royal_edition?as=1649904300
The issue with both LOTR is that the tactical battles are RTS grade ones.
The 1st one (abandonware I think) had interesting sieges in which you had to allocate troops between building siege equipment, preparing assaults, and something else (foraging? Blocakding?).
LoTR 2 had more gamey castle assaults, but they were the coolest I remember (I much preferred them over Stronghold actually).
There are also several ancient games on
HPS website (and two medieval ones,
Vengeance and
An Laoch Ri - The Warrior King), but their prices are quite high (not sure they ever do sales).
Also digging what is available on Slitherine side, I found a few quite old games:
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History: Great Battles Medieval (it seems to features Total War like battles, and army selection/upgrade between battles, like quite a few games I listed in a previous post).
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Great Invasions, one of the earlies Ageod games (with an UI that was probably rough back in the days).
Also from Slitherine, their classic games on Steam seem to combine "operational level" with tactical battles:
I think it is the closest you'd get from what you are looking for, even though these are all set in ancient times. They seem nowhere near as complex as War in the East/West, though (and seem to have streamlined strategic and tactical gameplay).
Other games in the series are Legion Gold, Spartan and Gates of Troy (I don't know why ancient games outnumber medieval ones 5 to 1...).
Actually, I had a similar question some time ago
here on the codex.