Key Takeaways 
If your entity will be wholly owned by another group company as a local support office with no intention to raise outside capital or list on the Japan stock exchange, it is the most common nowadays. It’s most common nowadays for most foreign companies to set up a GK as it is simpler and less costly to set up and maintain. Short of that, it is still common for foreign companies to set up a KK. 
If a foreign entity will be wholly owned by another group company as a local support office, with no intention to raise outside capital or list on the Japan stock exchange, it is most common nowadays for foreign companies to set up a GK as it is simpler and less costly to establish and maintain. 
Otherwise foreign companies typically set up a KK.