I have been covering Australian cricket since 1990s. Here is a list of one day series(including one-match series)they have played from 1998.
Here is series-wise list of tournaments played by Australia. The table features matches played, matches won by them, series won by them, avg and run-rate of batting and bowling. In batting they consistently maintained a high run-rate(5.39) and in bowling, their overall run-rate has been less than 5.
All data is to be updated