yoyolll: Since it's a small game (~700mb) you might try making an installation on your desktop or something, and running it without changing/adding anything like patches or mods. That would at least rule out any issues with your rig or other installed software.
I always found FO2 to be a very easy, simple click-and-go game. I remember I used to run it out of a flash drive on other computers. Your problem is most likely gonna come down to finding which patch/fix/mod is messing up your install.
Renbean: ok thanks I'll give it a try, I might need to install the patch again maybe, but im not sure where to find it.
When you say making an installation on my desktop do you mean just moving the folder? I cant change when the game installs to, I'm not sure if you can change that. I'm not to smart when it comes to computers.
When you launch the gog installer for fallout 2, there should be an options button on the bottom left corner. Click that button, and then where it says "Install games to:", browse to your desktop or another folder where you wish to install the game. Just make sure it's not the same place you installed originally. And don't worry about patches or anything like that.
Now you should have two installations of the game, your first one that doesn't work and another one that you just installed. Go to the second one and try running the .exe from inside the folder, I think it's called "fallout2.exe" or something like that. If it works, then we know the problem with the other one not working is confined to it's folder. Probably just a patch or mod that overwrote something it wasn't supposed to. However, if this second installation also doesn't work, then the problem is on your machine. Most likely some other software that is interfering with fallout 2.
EDIT: Just to reiterate, you are not touching your already existing fallout installation. Just making a second one. And don't add anything to it, not even patches. Just run the installer and see if it works.