There are not that many Mints really unless you include coins minted overseas - London, Birmingham, Calcutta, Bombay, Denver, San Francisco (not Sacramento as I originally said, its late at night here in Australia).
In Australia the only active Mint for circulating coinage is Canberra with Perth producing NCLT coins and Gold.
Sydney Mint shut in 1926 from memory, Melbourne in 1968 and Perth stopped producing decimal coins in the early 70's.
Perth only produced silver coins in one year - the 1946 shilling - 1946S.
Adelaide produced Gold coins in 1852.