depends which state you are in.
http://www.nationalparks.nsw.gov.au/PDFs/reptile_licensing_outline.pdf
so snakes allowed are:
Snakes - non-venomous species
Q2612 Aspidites melanocephalus Black-headed Python
C2633 Dendrelaphis punctulata Green Tree Snake
G2619 Liasis childreni Children’s Python
Q2620 Liasis fuscus Water Python
U2818 Liasis maculosus Eastern Small-blotched Python
S2621 Liasis olivaceus Olive Python
U2622 Liasis perthensis Pygmy Python
W2819 Liasis stimsoni Large-blotched Python
W2623 Morelia bredli Centralian Carpet Python
C2825 Morelia spilota Carpet and Diamond Python complex
T2023 Morelia s. cheynei Jungle Carpet Python
T2029 Morelia s. imbricata South-western Carpet Python
T2024 Morelia s. mcdowelli Coastal Carpet Python
T2025 Morelia s. mcdowelli / spilota Carpet/Diamond Python (natural intergrade)
T2026 Morelia s. metcalfei Inland Carpet Python
T2027 Morelia s. spilota Diamond Python
T2028 Morelia s. variegata North-western Carpet Python
M2638 Stegonotus cucullatus Slate-grey Snake
Snakes - mildly-venomous species
U2630 Boiga irregularis Eastern Brown Tree Snake
M2646 Cacophis krefftii Dwarf Crowned Snake
Z2647 Cacophis squamulosus Golden Crowned Snake
Z2655 Demansia psammophis Yellow-faced Whipsnake
Y2660 Denisonia devisi De Vi’s Banded Snake
S2665 Drysdalia coronoides White-lipped Snake
U2666 Drysdalia mastersii Masters' Snake
K2805 Drysdalia rhodogaster Mustard-bellied Snake
C2669 Furina diadema Red-naped Snake
S2673 Hemiaspis damelii Grey Snake
U2674 Hemiaspis signata Marsh Snake
W2711 Simoselaps australis Coral Snake
M2726 Suta dwyeri Eastern Black-headed Snake