The paper presents results of international standardization work items within ISO and IEC to develop safety requirements for new types of non-industrial robots, namely, personal care robots, and for medical robots. The key requirements for the three defined types of personal care robots focus on how the intended close robot-human interactions can be facilitated without causing harm. For medical robots, the key issue is how the degree of autonomy that is included in the new definition of a robot can be handled in medical electrical equipment to ensure basic safety and essential performance. The standardization work is continuing, and the paper describes the current thinking within the work groups and summarises the results that have been achieved.