With 8-man football, the success multiplier, and dropping class 1 to 36 teams(strange number) - there are 13 schools that have won class 1 state championships and are still in class 1. So, more than a third of class one schools have won state championships (I wonder how that compares to the other classes).
Here’s the list and please correct if wrong - Cass-midway, Windsor, Penney, Milan, Miller, Chaffee, Hayti, Marionville, Salisbury, West Platte, North Platte, Marceline, St. Vincent.