BonesOfNinja: Yes, KotOR,
timppu: So when you say "none" of your games work, do you mean just KOTOR, or other games too? What do you have on GOG?
Since I don't know if you want do uninstall your Galaxy version of KOTOR and re-install it with the standalone installer, can you try it with some other game you have on GOG? That is:
1. Close Galaxy. Don't use it. Heck, uninstall it for all I care.
2. Take your favorite web browser, e.g. Chrome, Firefox or EDGE (just joking there, EDGE is never a favorite browser), and head to the web site
https://www.gog.com/
3. Click on the sign-in link and use your GOG email address and password to log in.
4. If you have two-factor authentication enabled (like you should), it may be it asks you to provide an authentication code from your email. Do that if needed.
5. Hover the mouse over your account name in the upper banner and select "Games" from the menu that appears.
6. Click on any game on the list, scroll down the page, and click on the "DOWNLOAD OFFLINE BACKUP GAME INSTALLERS".
7. Download all the files that are linked below that part, one by one. If it is a small game, there may be just one .exe file. If it is a bigger game, there may be one .exe file and one or more .bin files. There may be also several patch/update files and DLC files; patch/update files are normally not needed as the main installer is usually supposed to be up to date (the patches are meant for people who had an older installation of the game), but check whether the main installer is the same version as the update(s).
Extras don't have to be downloaded, they are not needed to play the game.
8. When you have downloaded all the installers to the same directory (by default your "Downloads" folder in Windows), click on the .exe file (Type = "Application") and the game installation starts.
9. Optional: if you downloaded any DLC installers or the game needs patches, install them now, similarly as you installed the main game.
10. After the game installation is finished, don't click the "Launch" icon in the installation screen, but exit the installation post-screen and start the game from your Windows Start menu, or the desktop icon if you told the installer to create a desktop icon. (I say this because some have reported clicking on that Launch button tries to start the Galaxy client, if it is installed). This should not depend on your internet connection so if the game doesn't start, it is probably some other problem.
In theory, running the Galaxy-installed game with the .exe file should work, but since I don't use Galaxy and have no way checking if that works, I am not suggesting that. Generally, if you wish to play your GOG games offline without an internet connection, it is a better idea to download the game offline installers and install the games with them. With those installers, you can install the game on another PC than the one where you downloaded the game, e.g. transfer the game installer files to your offline PC (without an internet connection) with an USB memory stick or similar.
Total freedom; DRM-freeeeeedom!
It looks like it's worked so far for one game. I went ahead and deleted/uninstalled EVERYTHING (clean slate and all that), and created a new separate game folder as suggested by nightcraw1er.488. Took the laptop offline when it finished installing and launched the game from the folder (had to run it as admin the first time) and it worked. Hopefully it will keep working. I'm doing this one game at a time. Shouldn't take too long, I only have three.
nightcraw1er.488: Just to add to @timppus good information, when you run the installer there is an options button, click it and it will show you where the game is installing to. Make sure you do not install to (or in fact anything ever) to program files or program files x86. I create a folder called c:/mygames, and install into folders on there.
I did what @timppus said, as well as employing your suggestion to create a whole new folder and it seems to work so far for the one game I have done. Doing this one game at a time, which shouldn't take too long. I only have three,