If you are getting blue screens on your Windows 2000 machine then you are either having hardware or driver issues. The OS will not bluescreen just because you are running a couple of applications.
By the way, applications run in usermode memory which is separate from kernel mode memory. So if you are running applications and those applications are having problems, the applications would go down with a Dr. Watson and create a userdump file not bluescreen a machine. The only possible way an application could bluescreen a machine, would be it accessing a bad high layer memory allocation (bad ram) or accessing a kernel mode driver.
Simply enough, don't blame the OS for something else that could be causing your problem. Don't get me wrong, there can be issues with the OS that could cause a bluescreen, but with some analysis, those can be fixed.