My name is Lindsey and I work with the Windows Outreach at Microsoft. I saw you keep seeing the blue screen of death when you try to play games on your new computer. I am sorry this keeps happening. I am not a tech support but maybe some of my hints can help you. Have you made sure you have all of the updates in Vista? Sometimes even new computers need updates. Here is a link so you can learn more about the Service Pack 1 and other updates; http://www.microsoft.com/windows/windows-vista/quick-start/sp1.aspx.
Also you should check out the Windows Vista Compatibility Center to make sure your games and everything is compatible with Vista. I am sure you won't have a problem but this is a great site to have on hand: http://www.microsoft.com/windows/compatibility/.
I hope this helps!