Adelaide is a big exception, since it is bordered on the west by the ocean, and the east by the hills. All the prestigious suburbs are around the city, with the North and South regions having the worst places. The most prestigious places are to the south and east, then north, and lastly west.
Sydney, the further west you go, the worse it gets. The population center of Sydney is actually 10km west of the city. Pretty much all the nice suburbs are either East, or North.