Well, you have to consider, back then, PIXAR’s funding was quite large and their computers were specifically designed for animation (I believe they use MAC based servers, which is far superior than the “IBM” PCs that we use at home). In fact they invented new techniques for animation, for the Toy Story project which led to better animation for part 2.
Now, if you remember NASA’s animations of the first space shuttle, and demo videos, that they released for the news media to broadcast on TV, you’ll see that they were kind of good looking, but nothing nearly as good as some of the Blender projects rendered on the home PC, seen here in recent times.
Other than the game engine for Blender, your video card doesn’t play much of a role in processing speed. So that GeForce MMX 440 card is good enough.