I had the same issue with Diablo 3, I've played 50 or so different games since then and haven't had any issues in them, tried diablo 3 again few weeks back and same thing happens.
Sometimes it'd crash leaving sound working, other times it'd crash graphics driver, other times yet it would BSOD the computer, and occasionally it would just freeze the game entirely forcing me to alt-tab out and close it in task manager.
After a couple weeks and reading through hundreds of pages of diablo 3 issues on forums I just gave up on playing it on PC.