Check for potential IRQ conflicts. Look up your internet hardware in Device Manager to see if they have any Exclamation marks. Or, check the IRQ settings to make sure that no devices are conflicting. I've had similar problems too where I would get a BSOD each time I tried to use dial-up. IF possible, please post the error code and file name if any that appears in the BSOD.
Thread moved here from In General... and topic title edited to make it more relevant.