Here is the Minnesota Secretary of State’s notice of vacancies in state boards, councils, and committees for November 2016 (pdf). There are 74 pages of vacancies for everything from the American Indian Child Welfare Advisory Council to the Noxious Weed Advisory Committee. Most are uncompensated other than expense reimbursement, and many positions have requirements for qualification. But if you want to help with the business of government, there are lots of opportunities.
You can also sign up to receive notice by email when there is a new vacancy.