Das scheint in der deutschen Version besonders verbreitet zu sein, aber da es auch im Original auftreten kann, erkläre ich es auf englisch
It's related to the graphics. I have a two-months old computer which surpasses all the requirements by far, but I ran into this bug after every movie. The only solution I know of - which worked well for me, even if it's a bit tedious - goes as follows: before the movie starts, save, then go into the menu and turn down the graphics: resolution, brightness etc. to the lowest possible level, disable shadows and grass and so on. Do everything to make it look ugly. Then let the movie play, save again after it, and put everything back to normal. As I said, a bit tedious, but it works.
The problem is just that you have to know when to do it, i.e. you must anticipate the movies. If you are on your first time, you may sometimes be taken by surprise, but about 90% of the movies come while you do space-travel, so do it everytime before you enter a shuttle, or before you use the Galaxy Map onboard the Ebon Hawk.
There are a few cases, such as when flying from Peragus to Telos, when my screen goes black even with the above precautions. In these cases, leave the game via the task manager, disable the movies (you have just seen it anyway), restart the game, save after the movie and re-enable them.
I submitted this strategy to the Gamebanshee webmasters for the bugs and workarounds section, but that hasn't been updated since. It was the only real annoying bug by which I was hit and one of the things I hope to be patched.