For all the people experiencing the "crash after one second":
I had this, and it's now working, my machine is an AMD Phenom 2 X4 3.2 GHz, 16GB RAM, Geforce GTX
I wrote to GOG support and got an answer rather quickly (but with an excuse that it took so long) :-)
Support had the following suggestions: "Run as administrator"
- didn't do it - not necessary. "Add to trusted list in AV/Firewall"
- didn't do it (btw. I only use the Windows Firewall and MSSE). "Reinstall the June 2010 DirectX runtime package, then use the DirectX web installer."
You can find the archive file containing the 2010 package installation files here: http://www.microsoft.com/en-us/download/details.aspx?id=8109
I reinstalled the 2010 DirectX (already had it), don't know if it had any effect. The DirectX web installer page is currently broken - displaying some Windows 10 download tool, so I skipped that one. "Try disabling DSR" http://www.gog.com/support/support_view/potential_issues_with_supersampling_dsr_factors_feature_on_highend_geforce_cards
It's always off on my machine. "Please update your graphics device drivers" http://www.nvidia.com/Download/index.aspx
I did that, although my drivers were pretty recent. Don't know if it had any influence. "Please reinstall Visual C++ 2013 SP1 Redistributable Packages" https://www.microsoft.com/en-us/download/details.aspx?id=40784
after pressing Download select:
I did that, and I strongly suspect that this did the trick.
I can only say that now the game runs like a charm. And compared to SSP in higher resolutions the performance is just fabulous! Many thanks to the people working on the EE and GOG support. I hope this post may help other people with problems.