This review reaches the agenda of corporate anthropology, which is one of social anthropology's subdisciplines. Such a research field's developing rapidly within the last thirty years, creating many reflections regarded the corporate model of capitalism's social impact, as well as its local and global effects, key risks, and prospects. One of this research field's most discussed topics is corporate social responsibility, the conespondent policies, practices, and concepts. Similar issues concerning Russia are almost fully weren't described in terms of anthropology. This seems unnatural when considering the fuel and energy sector extractive corporations' leading role in the Russian economic development and social processes, both local and national. The review briefly and in general reflects the milestone issues of the world's anthropology of corporate social responsibility agenda. Authors suggest it might help further conceptualize Russian corporate contexts and describe individual cases of Russian corporations' social responsibility policies. This review doesn't pretend to attract in absolutely all details all, or almost all the research were published in concern with the topic being discussed. The only purpose this paper strives for is to describe most systematically the general ideas and concepts. Similarly, the review's not intended to embrace all existing issues and anthropological contexts of corporate social responsibility. The only two most dynamically developing research directions are under consideration: the first is the Ethical Economic and its practical implementation in Corporate Social Responsibility (CSR) policies as the second.