Hi there, a few weeks ago I managed to bypass the crash issue I had. I had installed the game on a (rather budget) computer, but it passed the minimum and even recommended specs, so it should have been alright on low settings. (AMD sempron 2,8 GHz, 2 GB ram, XP pro - Divinity 2 DKS).
My problem deviates slightly from all the other crashes mentioned here, in the sense that the game started up just fine: I could see the lady-bug intro, I could play in game in the first town there, chatting with the female mage, deciding what type I would play, etc. All worked fine. Until it was time to go back to the flying ship. She tells me there's a dragon sighted and what not, and then... it crashes. The screen ALWAYS went black at that moment, and it got reduced into/as a tab on my taskbar. (Re)clicking the tab (to open the window again) made it crash completely.
Now, I've had tried all the tips provided here: setting it on lower or higher resolutions, installing the latest drivers, installing the latest patches, de-installing codecs, reinstalling the WMP codecs, etc. Nothing worked. It still borked at the exact same time/place.
What did work (well, as a work-around) was this: I went to C:\Documents and Settings\%username%\Local Settings\Application Data\Divinity 2\Profile\graphicoptions.xml
There you see the option in the file Fullscreen="1" ; I changed it into 0. This makes it turn into windowed mode.
When I started the game anew and came to the point of the crash (returning to the ship and going of to hunt for the dragon) it DID turn black again, but contrary to the first time, you actually still hear the sounds, and it doesn't crash. The cut-in movie/scene just went on, until it finished, and then the game resumed, and everything worked fine again. (even after setting it back to full screen again). So with a save beyond that cut-in scene, you can just go on and proceed with the game.
I just hope that I don't have to do that every single time a cut-in scene is showed. But maybe not. It's strange I didn't have any problems with the other cut-in scenes before, though. I read somewhere that it was due to different codecs been used for different scenes/movies. But I'm a bit baffled by the reason for this. I agree with Larian Studios they can't foresee every possible variant on every possible machine that the game runs on, but it would have stand to reason that you only use one and the same, (and preferably most commonly used) codec for ALL your cut-in movies. That's definitely an error of Larian Studios (even if they didn't do it themselves, they should have checked it). I hope you guys learn from your mistake.
But anyway, while it's more of a work-around (you still can't see the cut-in scene), it did help me to get further with the game on my XP-budget PC, while all the rest of tips and tricks didn't help. So I thought mentioning it here too, if other people had the same trouble.
There you go.