The following are my responses with regard to the Canadian system.
My experience with regard to the Australian system are limited because I haven't been here long enough as a patient and I am not covered under Medicare here.
The Commonwealth Fund is a private foundation that researches health care systems with a lot of the information you are looking for.
Their 2007 International Health Policy Survey in Seven Countries surveyed people from
Australia, Canada, Germany, the Netherlands, New Zealand, the United Kingdom, and the United States and asked them about their satisfaction with their system, wait times, quality of care, etc.