The BSOD is a PITA! Nine out of ten bsod's are driver related, but it ain't necessarily so. The aim is to stop them, so were it me, the first thing I would do is look through the event viewer to see what critical errors it reports. If that didn't help me, i would run debugging tools for windows - this is a powerful utility that analyses the crash dump file.
That's the log file produced by the bsod. It will identify why the machine is crashing.It is your best bet but it is complicated-ish to use. Google for win dbgr or debugging tools, there are plenty of articles out there that will walk you through the process step by step.
Of course you could just stop looking at naughty videos or use a different media player! But as the machine has form for crashing, why not sort it out once & for all?