The High Court (of Australia) has made a fair few great decisions that are related to implied rights within the constitution, but it's pretty clear that they've already stretched the wording very considerably. They can't just enshrine rights which we take for granted in our everyday lives as being constitutional, because that would invalidate their authority as being the final source of truth for constitutional questions.

There is a research paper published in 1998 by the Australian Parliament which outlines the many arguments why we need stronger constitutional rights[1]. Unfortunately, we have had a referendum on this topic before and it was categorically refused[2] (though the constitutional amendment being proposed was incredibly weak and that might've been the reason it was refused).

[1]: https://www.aph.gov.au/About_Parliament/Parliamentary_Depart... [2]: https://en.wikipedia.org/wiki/1988_Australian_referendum#Rig...