From: Toronto Ontario
As someone who has been playing wargames for many years these are the ones I would recommend.
Combat Mission As you have said you don't think it is for you. What ever you choose, stick with the CM demos as once you grasp how things work, and if the system suits you, you won't find a better representation of WW2 tactical warfare.
Tigers on the Hunt is like Advanced Squad Leader ported to the computer. Again very good but a bit of a learning curve.
John Tillers Campaign Series, although modelled at platoon level, is still very tactical and includes The Russisn, European, and Pacific theatres.
Close Combat These are real time games not turn based. I don't find the A.I. to be very good. If you want to try one I would suggest the original " A Bridge too Far. Dated graphics but generally thought of as the best gameplay and A.I. If you want a more recent one Cross of Iron is worth considering.
Steel Panthers, Another turn based game with reasonable fidelity and quite popular.
I would stay away from the Squad Battles series. The Armour model is very poor. Combat Resolution can often leave you scratching your head.
If you don't mind ancients, Field of Glory 2 is a very, very good representation of tactical combat through that period.
Consider that with any game you choose. There will be a learning curve. For a tactical wargame to represent reasonable combat situations and results, it does require some complexity, so a bit of study and practice is needed to understand and fully enjoy the game.