Australian domestic power distribution is the same as the British system of 60 years ago - a series of spur or radial circuits, each containing several power outlets and each protected by a circuit breaker or fuse. British wiring uses a 'ring main' whereby a loop containing several power outlets is protected by a single high current fuse or circuit breaker. Each appliance plug also contains a glass fuse of up to 13 Amp capacity. If there's a fault in the appliance then only the plug fuse will blow.
With the Australian system an appliance fault will trip the circuit breaker protecting the spur and several power outlets will go off. That's no drama as you just locate the fault and reset the circuit breaker. The British system used to have distinct advantages in the days of wire fuses in switchboards but with over current circuit beakers and earth leakage circuit breakers there's little difference in terms of protection or resetting after a fault. Admittedly you don't need to open the switchboard in the British system which can be an advantage if it's difficult to access. Just put an Australian plug on in place of the British one which is one of the few things you can do in Aus without an electrical worker's licence.
BTW British plugs are much better quality than Australian: insulation over the pins, bigger bodies with screwed caps and decent cable clamps making them easier to wire. They're also far more robust - step on an Aus plug and you bend the pins, step on a British plug and you'll do your ankle..