Update: I still have yet to crash running 355.98. I've run multiple dungeons, Void Ark, roleplayed in Ul'dah, in personal housing...all ran perfectly fine.

So, that leads to a few thoughts. For Nvidia this seems to be a driver issue, but this error occurs on AMD as well. I'm wondering if the issue is with FF XIV. I'm wondering if FF XIV is making a DirectX video call that more current drivers don't like. If AMD and NVidia made some kind of universal change, or if there was a change to DirectX in how it interacts with the drivers. This still might be something SE needs to fix.

For Nvidia, sadly I skipped several driver revisions, and one of them started this error. So, we're just going to have to test them and see where it breaks.

361.43: *DirectX Error*
359.06: *DirectX Error*
359.00: ???
358.91: ???
358.87: ???
358.50: ???
355.98: Works!

There is obviously an issue here, and since it spans NVidia and AMD, I hope SE will take a look at it. Hope this at least helps.