In this essay I scrutinize the non-anthropocentric discourses used by the social sciences and humanities narratives and critiques of the Anthropocene. Although not always predominant within the academic Anthropocene debate, such discursive strands remain politically and ethically inspiring and influential in that debate and for the public discourse concerning the epoch. I stress that these discourses inherit the hope for human progress that characterizes critical theory of the Frankfurt school, i.e. ‘critical hope’, a type of hope that renders the non-anthropocentric discourses self-contradictory. Even when they manage to escape the hold of critical hope, these discourses, I argue, suffer from ethical and political failings due to their inherent lack of focus on human–human relations and largely ahistorical nature. I conclude the essay by advocating an Anthropocene archaeology that remains critical of and learns from the ethical and political shortcomings of non-anthropocentric perspectives and making a related call for a slow archaeology of the Anthropocene.