Where can I find the error log in question? I tried searching for it right after experiencing the crash, to no avail.
And yes, I did use RA1Installer.exe. I chose the full CD install and I downloaded both iso files when the installer asked for their location.
EDIT: Out of curiosity, I reinstall the game, this time using the full web installation, and I had the same experience as MattAttack: the game briefly freezed on the Score Screen when I pressed the Mouse Button around the time the high scores get displayed but did not crash this time.