The Universal Declaration of Human Rights
I'm a thing of two names. (It depends on from where you came.)
The acronym is UDHR in English, or DUDP in French (Déclaration Universelle des Droits de la Personne).
And the name of 6 games. (Played by both gentlemen and dames.)
The United Nations has 6 official languages: Arabic, Chinese, English, French, Russian, Spanish.
This thing has brought our species much fame. (And in it we are all the same.)
Well, it's a famous document, certainly. And it declares the rights to which all human beings are inherently entitled.
Society rests upon me, the frame. (What's my name?)
The Universal Declaration of Human Rights could be argued to be a large part of the basis for modern society.