I have downloaded the game, installed it, installed the latest patch and went to play.
The tutorials went OK, when I finally discovered how to drag and drop. Then I started with bigger scenarios and even a couple of turns in the grand campaign. Now the problems started to occur. During the loading of scenarios, after battles (mine or the AI's) and during fazes, the game just crashed. At first, I believed it to be my antivirus, so I turned it off. This frankly didn't solve the problem. I started another grand campaign with France and save regularly. As of an hour or so of playing I haven't had a CTD, even though the game crashed when I tried to load the campaign for the first time.
Any ideas as to why this might be happening and can I do anything to help you guys discover the problem?
The second one, I believe already mentioned are the endless battles. The first one was on land and forced me to Alt-F4 the game. The second one was a battle in the Pacific between the AH and Germany, which is odd, since they should be allies (See the attachment). The first time they AH attacked, they retreated, but in the second fight, Germany can't decide what to do, again, forcing me to quit the game.
I hope this helped a bit and I'm sure I'm not the only one saying this, but you have an excellent game on your hands once it gets polished a bit.