Start with C++
After C++ you can branch off into several paths. If you are looking into 3d game design, after learning alot of C++ (the most you can possibly put into your head), study OpenGL or DirectX programming.
If you are wanting to learn several programming languages, I'd recommend first hitting Java , then C programming after that.
If you are definetely wanting games, though, you can't go wrong with the first option, but keep in mind that no matter what path you take, there is always a solution to everything.