Comprehensive car insurance or third party insurance
Remember, your greenslip does not cover you for damage to your vehicle, damage to other vehicles, damage to or loss of property or for theft of your vehicle.
Your greenslip is explained in full on this site.
In addition to your greenslip, you should consider taking out comprehensive car insurance or third party property cover.
Comprehensive insurance can cover damage to your vehicle, damage to other vehicles, damage to or loss of property and theft of your vehicle.
Third party property covers damage to other vehicles but does not cover damage to your vehicle or theft of your vehicle. Third party property cover is generally cheaper than comprehensive car insurance.
All greenslip insurers also provide comprehensive car insurance and third party property cover (for an additional cost). There are many other insurers who will provide comprehensive car insurance and third party property cover.
With comprehensive insurance and third party property cover, price, policy terms, exclusions and coverage varies from insurer to insurer. Again, it is very important to shop around.
Contact details for the five greenslip insurers are on this site.