I've been playing
RTR VII:Fate of Empires (Epirus/Punic wars mod of Rome Total War)
Also & playing it more,
Third Age:Total War which is a LotR mod for Medieval II, Kingdoms:Total War.
Its very cool, uses the movies' visual design but with a lot of bits from the books & generally very nice extrapolation of units not seen in the movies.
Has (3 types of) Trolls, Mumakil & Ents but I think appropriately, no Balrogs, battle-wizards or apparent presence of the One Ring. (may be some sort of quest for the Eriador faction to get a spy into Mordor?)
There is a foot 'The Nine' unit which is 10 strong (engine limitation) I think its for Custom Battles only though.
Mordor generals are cavalry Wraiths with Black Numenorean bodyguards.
No Fell Beast Wraiths or Eagles.
Saruman is an ancilliary of the Isengard faction leader Ork.
Sauron takes the place of the Pope, periodically meting out Invasion targets for the Followers of Melkor factions (& presumably intervening in any in-fighting?).
The 'good' factions have a White Council filling the same role.
Can't mod in-battle cities yet unfortunately so those are stock out of M2:TW
I've not actually played any of the Official LotR games but visually much better than any screenshots I've seen.
Probably mostly better in terms of Tolkien Canon too.
In terms of battle scale, no 100,000+ strong armies (though there are some very nice screen shots from a guy who managed to get 44,000 Orks vs I think 7,000 Elves in a custom battle) but today I played a battle with 3,000 Isengard Uruks vs 7,000+ Eriador troops (mostly weak, militia types) trying to defend Bree & I'm pretty sure that none of the official games go that big. Also Bree was an invasion target so there were at least 3 other full-stack armies on the way from the other Followers of Melkor.
Campaign wise, the bad guys side definitely works well.
Not sure how its going to work as most of the 'good guys' though eg seeing a big army out of the Grey Havens conquering a neutral Man town in the area between Bree & Isengard was very odd