new-south-wales
s53 of the Road Transport Act requires a licence to drive a vehicle on a road.
From s4:
"drive" includes-
(a) be in control of the steering, movement or propulsion of a vehicle, and
(b) in relation to a trailer, draw or tow the trailer, and
(c) ride a vehicle.
"vehicle" means-
(a) any description of vehicle on wheels (including a light rail vehicle) but not including any other vehicle used on a railway or tramway, or
(b) any description of tracked vehicle (such as a bulldozer), or any description of vehicle that moves on revolving runners inside endless tracks, that is not used exclusively on a railway or tramway, or
(c) any other description of vehicle prescribed by the statutory rules.
"road" means an area that is open to or used by the public and is developed for, or has as one of its main uses, the driving or riding of motor vehicles.
By s5, “road” includes a “road related area”:
"road related area" means-
(a) an area that divides a road, or
(b) a footpath or nature strip adjacent to a road, or
(c) an area that is open to the public and is designated for use by cyclists or animals, or
(d) an area that is not a road and that is open to or used by the public for driving, riding or parking vehicles, or
(e) a shoulder of a road, or
(f) any other area that is open to or used by the public and that has been declared under section 18 to be an area to which specified provisions of this Act or the statutory rules apply.
So, yes, it includes a ride-on mower if it is being driven on the road, noting that the footpath in front of your property is a road related area and therefore part of the road. If you drive it wholly within private property, you don’t need a licence.
Also included are ATVs, mobility scooters, electric bikes and scooters (above a specific power) etc. it does not include watercraft (or aircraft) because they are subject to a seperate licensing regime and suspension of one does not normally mean suspension of the other.