This thread is pretty old, but hi anyway Matt.
A lot of local councils have taken it upon themselves to also ban operation of drone on council property, this is like Vic Parks, where you can fly over, but not launch from or land on 'their' land. (Hey, I thought it was ours, and managed by the various authority.)
It smacks of bureaucracy / overreaction to some imaginary problem that they perceive will happen, to date Australia and indeed Worldwide has generally had few incidents with recreational drones given how many are in operation.
For councils, just google > (council name) council drone bylaw < and generally their rules if any should come up.
See example here for City of Melbourne with that search . . .
https://www.melbourne.vic.gov.au/sitecollectiondocuments/filming-rpa-drone-guidelines.pdf
As you can see, this virtually rules out flying in the COM area, although I'm not sure they can ban over their land "A permit is required to be obtained from the City of Melbourne before any RPA activity is permitted to take place within or above the municipality’s Public Open Space." . . . but they have in their authority done so.
It's usually in their bylaws section on models, aircraft, drones, and even includes model boats on lakes at times, AND I have even seen bylaws banning kites with more than one string !!
Small councils probably haven't got any policy, but likely this will slowly change.
My view is this sort of thing can make short drone rec flying more dangerous, better to be there with the craft than flying from some distance where you can't more readily see who's around on the ground.
Indeed National Parks and other such in Australia is mostly a no go, the exceptions are QLD (always permitted under CASA rules, and not annoying others or wildlife), and WA, whom not long ago rescinded their ban to be under same rules as QLD.
Others I have heard are reasonable to get permissions are the NT and NSW, but I'd suspect it would not be allowed in heavily popular parks, but easy to talk to local rangers to get the ok with a brief sensible flight plan (early morning before others frequent a place, flight of say 15 mins, basic plan showing some foresight into making it safe, etc).
SA, VIC, TAS are pretty draconian, but if I go to the SA Simpson Desert, I'll certainly fly !
I can easily do so with no one else within many kms, and even then sometimes you don't see anyone for hours.
I wouldn't fly at Belair National Park in the Adelaide Hills on a weekend . . . it's all common sense, but blanket bans / rules are an easy way out for a grossly understaffed dept, as most state Parks offices are these days.
Anyway, I've yet to see any parks with No Drones signage, there probably are some, but I just haven't been to those places.
You could probably fly most, stay within CASA rules and fly with very high consideration to others (stay high !!), and if a ranger approaches, plead ignorance, say you'll bring it right down and move on, would probably not be a problem, unless you strike a rather draconian council ranger.
Happy and safe flying.