>  the best system seemed to be Australian

Insurance-wise, sure. The single-payer guaranteed basic medical care + private top-ups for faster access/non-medicare-covered procedures offers a lot of flexibility! But I think single-payer only is better (singe the single payer has a gigantic position to use when negotiating prices with pharma companies, medical associations, & hospital administrations). The French system is single-payer guaranteed (up to a percentage) + optional insurance to cover the remainder.

  > An important element of the French insurance system is solidarity: the more ill a person becomes, the less they pay.

nice