Interestingly there is a government website purely for the discussion of radioactive waste.
"Amounts of radioactive waste in Australia" says:
Australia generates a very small amount of low level and short-lived intermediate level radioactive waste. Each year, Australia produces approximately 40 cubic metres of such radioactive waste – less than the volume of one shipping container. By comparison, Britain and France each produce around 25,000 cubic metres of low level waste annually.
The article also has some interesting links, and more details on the breakdown of where the waste comes from.