I built all the necessary components for the spaceship, and when I click on the S in the corner to launch it, nothing happens. Same if I hit F10. Anybody know why?

Are you sure you have the spacerace victory enabled? (You can select it when you're at the game setup screen) BTW, what version are you using? Some of the older versions (like Vanilla Civ3 1.07) had a bug where you couldn't launch the space ship. Is this regular Civ3? PTW?

Space race victory IS enabled. I'm using PTW 1.14f.