East Asia and it's Chinese-derived alphabets being the big exception. The New World would be too, if it weren't for barbarians in upturned helmets burning all the codices. I suppose Canada's North is pretty dependent on indigenous syllabics, which were invented whole-cloth in the modern era.

I was referring to the Latin as per OP, though. And even then "used to" is doing a lot of the work, thanks to the Islamic empire conquering the Middle East and North Africa and converting it to Arabic. And maybe Greek prevailing in the East, but I'm guessing it would be hard to put an end date on Latin in the Byzantine empire.