Try going into your ffxiv config and adjusting everything to the lowest setting. Then try to start the application. Make sure your video drivers are all updated. Last option to do is open notepad and enter this EXACTLY:

start /affinity F /high ffxivboot.exe

save in your ffxiv folder and make shortcut to desktop
double click and run ^^

Problem could be that you have Intel(R) Graphics Media Accelerator HD. Check to see if you can run the game from http://www.systemrequirementslab.com/cyri/ or the official ffxiv benchmark here: http://www.finalfantasyxiv.com/media/benchmark/na/


hope something helps