A type "A" gas appliance is a gas appliances for which a "certification" scheme exists. eg the Australian Gas Association or a Gas regulator from another state.
Note:
A type "A" appliance when used in an industrial / commercial application for which it was not intended is considered to be part of a type "B" appliance. An example of this is a certified direct-fired space heater used as the heating/ventilating device in a spray/bake paint booth.