Stagecoach East Scotland route 81 is unusual in that it serves another local authority area, but does not serve any bus stops in that area. The section in question is from just north of Ballingry, to just west of the bridge that takes the road over the old westfield railway line, that served the westfield power plant and opencast. The distance of the section, which is in Perth and Kinross, is only about 500 metres at the most. But, on the two roads in question, there are no bus stops.
Then I should mention also Stagecoach east Scotland route 201, Glenrothes -Scotlandwell - Milnathort - Kinross, which as well as servine Fife, again serves Perth and Kinross, but this time serving bus stops.