This is what I have found for NZ Acts which is VERY similar to the Australia Legislation:
Security Transfer Act – possibly the Marketable Securities Transfer Act 1966 No. 092 (i mentioned this above)
Trustee Act – We have this
Vacant Property Act – possibly the Public Trust Act 2001 part VII – unclaimed property for NZ so you will have similar)
Escheats Act – Administration Act 1969 (for NZ, so it maybe similar for you guys)
Real Property Act – possibly Property Law Act 2007 for NZ but should be similar for you guys.
Remember also that if there isn’t anything in your legislation, you can use NZ Acts but quote the Trans Tasman Agreement which makes our laws your laws.