Do takeoffs and landings in a Pilatus PC-12 count for currency in a Piper Archer?
Category: Yes, both are "airplanes" as opposed to rotorcraft or gliders.

Class: Yes, both are single engine land planes, as opposed to multi-engined or sea planes.

Type: Yes, neither aircraft requires a type rating (both are under 12,500 lb max takeoff weight, neither is powered by a turbojet)

So the Piper Archer and Pilatus PC-12 qualify as currency for each other per this regulation.