It was made official in 1949 in Canberra that it was not appropriate to kill and eat kookaburras, magpies and domestic cats.
It was however fine to kill, and I presume eat among other introduced species, natives like native cats, tiger cats, flying foxes, lorikeets and cormorants.
I can attest to the fact that well into the 70's and early 80's that the ACT was still a fairly blood thirsty area but we limited our attentions to foxes, pigs, goats, rabbits and such. Introduced pests.
A bit of Kookaburra, medium rare thanks...
The West Australian - Saturday 28 May 1949
Barrier Miner - Wednesday 25 May 1949