Further to gtc's post, Australia has a very good basic UHS, but if you are needing elective surgery, including things like hip replacements, prepare to be put on a waiting list. True emergencies will always be treated free of charge (well, apart from the 1% medicare tax levy).
I choose to take out private health insurance as well, which currently costs $A250 a month. This covers my family for "queue jumping", private wards, dentistry, orthodonty etc (the etc, sadly, includes homeopathy).
A universal basic system with insurance for extras is fine by me.