Did this just start happening? How long have you had the computer? Are you the first owner?
First, go to Control Panel -> System -> Advanced -> Startup & Recovery Settings. There, uncheck "Automatically Restart" under System Failure. That way, you will be able to see what the error is saying exactly. Once you have that, post it here.
Regardless, here are two routes to take:
1. Go to another computer, download the installation files for Opera or Firefox, install said software on your computer, and see if it still bluescreens.
If so, you know the problem (IE).
2. However, I don't think that's the problem, since you just did a full reinstall. I believe the problem may lie either with your nic driver or the hardware itself. Anecdote: I have a 333mhz desktop that is still chugging along with win2k. I run a web server on it. I have found that anytime the speed of the server goes over 35kb/s (download) or 20kb/s (upload), the computer blue screens. I am sure that the hardware is faulty (since I have double-checked everything else). I believe the same thing may be happening here.
Try out the first suggestion (less grief) and see what happens. And post the information I asked for above.