Selected Test Results (selected in 'Test Results' table below)
With some tweaks, everything I've tested - saving, videos, loading, moving between ages. Gameplay is smooth.
What does not
I've had it randomly crash once so far, but not reliably or in any specific repeatable place that I've noticed. Always good to save often.
What was not tested
Playing the game to the end (yet)
The winetricks installer for the indeo codecs (winetricks -q icodecs) didn't work (I downloaded the latest version, and it just 404'd). Running the installer manually also didn't work for me (it seemed to freeze while "Looking for Netscape installations", even after unchecking the Netscape filter), but I was able to extract the DLLs from the installer manually, put them in System32, and use regsvr32 to register them, after which the videos worked flawlessly.
You can download that, extract the files to wherever C:\Windows\System32 is (make sure to put them directly in System32, take them out of the ivcodec folder), and then from a wine command line, run regsvr32 to register the DLLs with the system. I've included a batch file in the linked zip that just has regsvr32 commands for each DLL, to make it easier.