I'm having similar problems and I've seen multiple threads with countless possible solutions but nothing seems to work. What happened to me was that I was getting BSOD from time to time but now I can't get past a particular cutscene because each time my computer crashes. It seems like my computer handled other more graphically intensive moments during the game but can not get past this one cutscene.

I have never had this problem before and I've played recent games on high settings. I can understand it's maybe a hardware problem but it's FFXIV that is the cause of that problem. I would just love to know which aspect of the game is causing this situation for so many people.

Sidenote... I have an open ticket with no response yet. Someone in another thread said they had one open for 5 days so I'm not holding my breath.