As Artificial Intelligence (AI) continues to advance rapidly, it becomes increasingly important to consider AI's ethical and societal implications. In this paper, we present a bottom-up mapping of the current state of research in Human-Centered Responsible AI (HCR-AI) by thematically reviewing and analyzing 27 CHI research papers and 19 toolkits from industry and academia. Our results show that the current research in HCR-AI places a heavy emphasis on explainability, fairness, privacy, and security. We also found that there is space to research accountability in AI and build usable tools for non-experts to audit AI. While the CHI community has started to champion the well-being of individuals directly or indirectly impacted by AI, more research and toolkits are still required to address the long-term effects of AI on individuals, societies, and natural resources (human flourishing and sustainability).