Moebius was released 6 years ago and a lot has changed since then.
Are you using a downloaded version of the game or do you have a disc version?
From what you wrote, it sounds like you are using a disc version of the game. Is that correct?
I don't know of a patch available as a separate download. The Steam and GOG versions have been patched but the patches were never available separately and wouldn't have been for a disc version anyway.
You can try the solution in the Phoenix Online forum at the link below -- which is to contact the developer directly. http://www.postudios.com/blog/forum/index.php?topic=15192.0
I'm going to guess the yellow screen is a failsafe -- to allow you to play the game even if your computer isn't capable of displaying the cut scenes. Even if you're using the same computer with the same innards and same version of Windows, the computer's software is going to be different because of updates to drivers and changes made by Windows update. There could also be an issue with codecs.
The easiest thing to do would be to play the game without the cut scenes and watch the cut scenes on YouTube. I very much doubt that buying another disc version on eBay would produce a different result from what you're seeing.
Attempting the contact the developer (see the link above) might be worth the attempt.