Hi jctricky
After the latest update to the game, I am also experiencing the game crashing on exit.
I have found out that it seems to be the GOG Galaxy integration in the game that causes this, as it works just fine when disabling this while playing the game. Please note that this will also disable features like cloud saves, in-game overlay and achievement tracking on GOG Galaxy. The game has it's own achievement tracking though, so you can still unlock those.
As written in another thread, here is how you can run the game without GOG Galaxy:
1) Exit from GOG Galaxy completely by clicking the "gog com" logo and select "Exit".
2) Go to the start menu and select the Run or search input field.
3) Type "services.msc" and press enter.
4) Locate "GalaxyCommunication" on the list of services and double click it.
5) Set "Startup type" to "Disabled" and click "OK".
6) Run the game directly from YookaLaylee64.exe in the game installation directory if you installed through GOG Galaxy, or just run the game from the shortcut if you installed it manually.
You will have to repeat the above procedure if you run GOG Galaxy again, as it will reenable the service on launch.
Please let us know if this fixed the problem for you too.