We have a significant number of problems related to housing; generally I would call it a demand side issue not a supply side however.
My reasoning is we have a massive construction sector compared to other nations, with a relatively high productivity in terms of dwellings built per capita. We also have pretty slack standards, with even weaker enforcement.
In addition to that, we have a very weak growth in productivity per capita; and since we are trying to rapidly grow, we have to play catch up to provide the same level of services. This needs to happen while our construction sector is stressed, so the same amount of wealth goes a shorter distance again.
You can also see this in rental prices; negative gearing should allow the capital price to decouple from the rental yield to a larger extent than without it; but we still see high rents...