I had the same issue: when I started my flight, I would see the airplane on the tarmac and 5 seconds later, it would completely crash my computer (hard reboot!).  I saw Hobokiwi's comment and removed all plugins that were not part of the original X-Plane and it worked.  For me, these plugins were FlyWithLua and AutoGate.  I'm pretty sure once I have them updated, I will be able to use them again...
In short: remove all non-original plugins (or update them all) and hopefully your issue should be resolved.