I ran into the same problems. At first I couldn't get past the creation of my character, but now the game crashes everytime any kind of cutscene is shown. After a funny talk with an employee of EA, which by the way was over 2 hours long, I've been told, that the problem is beeing caused by my graphics card (HD6870) or the driver and that I should call the support of AMD, in order to get a proper answer. So, I have a game, which I can't play and a support, that is unable or unwilling to provide some real help!
Funny, I have the exact same card as you.
At launch the game was hard freezing on the main menu every time I started the game and I had one BSOD, then I updated my drivers to the new beta as was recommended. Now the game freezes mostly on cutscenes and it's unplayable for longer than 20 minutes. Not much of an improvement. And to clarify it is the same problem as OP wherein my entire computer is frozen, and only audio continues to play. Can't open task manager, can't do anything except completely restart my computer. And no, it's not an overheating problem. I realize that everyone's PC is different but to have bought the game and being unable to play it for weeks is just awful.
So support said we're supposed to call AMD and have them do what? There's nothing wrong with the drivers or my card! I can play every other game perfectly except for this one.
