Two things I've noticed in my admittedly little experience with the game (with AI on normal difficulty) - these aren't necessarily criticisms, just things that stood out:
1) Playing as the CSA, it seems like I've been able to field unusually large armies, at least for the South. I calculated that my ANV has over 128,000 effectives (I didn't count for my Army of Tennessee, but it's in pretty good shape too). This seems awfully high output in terms of raw numbers of soldiers for the Confederacy. Is there a difficulty setting or something that will reduce this to a more realistic level?
2) In more than a few engagements, the disparity in casualties is unusual - sometimes can be in the neighborhood of 4 CSA to 4000 USA, for example. Even in cases where I only lose 1000 and the Union loses 8000 seem pretty unlikely in a historical sense.
Both of these things might be a product of me playing the game on too easy a difficulty level...
Also - is there a way to get to something like a battle history report, that shows you all the engagements of the war and the casualty numbers, etc.?