Gender is a primary characteristic by which people organize themselves. Previous research has shown that people tend to unknowingly ascribe gender to robots based on features of their embodiment. Yet, robots are not necessarily ascribed the same, or any, gender by different people. Indeed, robots may be ascribed non-human genders or used as "genderless" alternatives. This underlies the notion of gender neutrality in robots: neither masculine nor feminine but somewhere in between or even beyond gender. Responding to calls for gender as a locus of study within robotics, we offer a framework for conducting an open living review to be updated periodically as work emerges. Significantly, we provide an open, formalized submission process and open access dataset of research on gender neutrality in robots. This novel and timely approach to consensus-building is expected to pave the way for similar endeavours on other key topics within human-robot interaction research.