I'm having the same problem, too. Game crashes randomly, usually after 200+ turns. Go back to a recent save, and keep playing, and the crash does not occur again on the same turn. I play in DX10/11 and I'm not in strategic mode. Just now crashed when I tried to save the game (because it crashed about 20 turns ago and so I was saving more than usual so as not to lose the turns...). Getting pretty frustrating.
System: month old Sony VAIO Z series laptop, i5 CPU, 4G ddr3, NVIDIA GeForce GT 330, 128GB SSD, running Windows 7 Pro (64-bit)