Try this: Open FFXIV Config. Click on General. Make sure that the field titled "Display" is not blank. If it is, set the display to Display 1. Click Okay.
My girlfriend had the problem before, and that fixed it. However, if the Display field is filled, then it probably won't fix it.
Just thought I'd throw this out as a possible solution.
I'm having the same problem as the OP, problem for me is I need to switch to windowed mode so I can let the game have access through my firewall...
Display is filled nicely when I opened it, also tried to reselect that but it still crashes for me.
FFXIV: Dennis Galen - FSH 50 | CRP 38 | LEA 27 | WEA 25 | CON 9 - Selbina server
FFXIV: Dennis Ramuh - CON 7 | ALC 7 - Selbina server
FFXI: Dennis - Hume Rank 10 Bastok - Ramuh server - LS: PandemoniumKnights 60 Summoner 75 Black Mage
| 75 White Mage 75 Red Mage
Alchemy 93,1 +2 | Fish 100 | Gold 32
Wood 22 | Cooking 15 | Smith 14 | Leather 9