Using the Medium Stay Passport service, you can experience the stay in country area all over Japan. Local government prepare the old private houses, events and festivals, and you may have a chance to communicate with the local people.
There is a tax payment system called Furusato Tax. You can pay the inhabitant tax to whichever the local government you want. Using this system, you can get the service with less expense.
If you pay to certain local government, you can get the service from other local government too. They ally each other. You can visit the various cities and towns and have variety of services in each area.