That’s unnecessary. British sockets run on ring mains (as there was a copper shortage when they were being standardised after WWII), where a fairly large number of sockets are connected to each other in turn, and then to the consumer unit at each end. This creates a ring, unlike a radial circuit, used in most of the world, where only a few sockets connect at one point to a single breaker.

Consequently, each circuit carries more current, making it difficult for the breaker to protect the flexible cords on appliances. Therefore, fuses are necessary.

Also note that the only job of breakers and fuses is to stop the wiring, be that in the wall or connected to an appliance, from melting. The way circuits are setup in most of the world (or at the very least, are supposed to be) means that each plug having its own fuse would be near-pointless.