The name for someone who fixes refrigerators and stoves, as well as other household appliances, is an "appliance repair technician" or simply an "appliance technician." These professionals are trained to diagnose and repair various types of appliances, including refrigerators, stoves, ovens, washing machines, dishwashers, and more. Their expertise lies in troubleshooting and fixing issues related to the functioning of these appliances to ensure they work efficiently and safely.