Australian Consumer Law covers "reasonable expectations" of fitness for purpose and is generally understood to comfortably exceed the typical three year warranty period.
https://www.accc.gov.au/consumers/consumer-rights-guarantees...
http://www.fairtrading.nsw.gov.au/ftw/consumers/motor_vehicl...
http://www.abc.net.au/news/2011-06-07/broken-but-out-of-warr...
http://www.caradvice.com.au/345004/what-is-the-australian-co...
The dealer warranty for cars is a separate and mandatory guarantee, don't conflate the two.
My favourite summary of the situation is actually Apple's. Read http://www.apple.com/au/legal/statutory-warranty/ and pay attention to the language used for claim periods.
NB: the Australian regulator has teeth and is not afraid to use them, but their enforcement is selective. They tend to go after big fish like supermarkets, major retailers, energy companies.