"Same rules for everyone" countries: the archetype would be England after the civil war, where it became established that it didnt' matter if you were related to the King (or were the King), the law applied to you also.

(Of course there are varying values of "everyone." Most countries pretty much excluded half of the adult population until recently.)

For "family first" countries: this is the default mode for humans, so pretty much every country at one point or another. Nigeria and India would be two ountries where it's important to be related to the right people. India's caste system further reduces opportunities for many, perhaps most, people. For more extreme examples: Yemen, Afghanistan.