I've read posts from people who say that iTunes is unstable on their computers. If it was just one crash, it could have been caused by something else though.
I'd try installing QuickTime first (I assume you need it for a game), and see how well the computer runs for a few days. If everything seems OK, you can try iTunes again. Be sure you reboot after installing. You may also want to clear your temporary files before installing QuickTime, and again before installing iTunes.