Well, given the global diversity, there might be more categories.
I'd say personal name and family name would be "default".
But still. Even with considering additional items like the middle name, father's name and mother's name, I don't know if it used to be spread, I know of the existance of "single names" - like "Miramar", some "Robert" or "Jones", I don't know, it's rare but exists.
Well, not to forget a possible field for an alias. Can they be more than one?
Names are so non-standardised