Having had the same problem starting SWAT 2 in Windows 7 Pro 64 bit and following on from the above post, this is what I attempted...
I found the SWAT 2 replacement movies at moddb.com and downloaded them from there.
Here's the link:
https://www.moddb.com/games/police-quest-swat-2/downloads/swat2-xvid-movies Once downloaded, open the zip archive and copy all the video files to:
C:\GOG Games\Police Quest - SWAT 2\Movies (using the copy and replace option when prompted)
However, that didn't work and there was the same problem starting the game. It's at that point I followed some of the advice from earlier in this thread by going to ninite.com to download the K-Lite codecs.
This time I reinstalled the game and with just the K-Lite codecs, it ran fine.