Thank you. This is one of the reasons I like HN! How about essential activities, such as going to work, school, institutions, banking, public transport etc? Do you need the vaccine to go there as well?
Essential retail locations (food, pharmacies, laundries etc), and other essential services (public transport, government offices, medical facilities, consular services, banks) etc. do not require proof of vaccination, though many of them do require masks.
On the whole though, vaccination isn't a huge issue here: we're just crossing 90% (age 12+) fully vaccinated now. There are some small protests about the vaccine requirements, but they're very much in the minority.
Other states in Australia are slightly different in the details, but taking broadly the same approach.