I know that BSOD’s can write minidumps when they crash but you need an application that can view the contents of this file.
As Jenkins said, one way (Probably easier) is to just view the error data when the BSOD comes up. You will need to disable ‘Automatic restart on failure’ to view it though. To do this in XP or 2003:-
Right click ‘My Computer’, click properties, go to the ‘Advanced’ tab, click on ‘Settings’ under the ‘Startup and Recovery’ section, Ensure that ‘Automatically Restart’ does not have a tick in it, click OK.
I’m unsure of Vista, perhaps same method? This way you should be able to write the error code down and go do a google on that.