1. Come to Melbourne.
2. While stuck in Sydney, the Maritime Museum has a helicopter, but is also an excellent museum of history and, obviously, ships. Well worth a visit.
3. The Powerhouse Museum has the historic Consolidated Catalina 'Frigate Bird' of PG Taylor - see the thread in the Vintage section:
http://warbirdinformationexchange.org/p ... hp?t=27547
It also has several other aircraft - Dick Smith's first solo-around the world helicopter, the Bell Jetranger, a Cierva C-30 and so forth. Another good transport and technology museum.
4. Hire a car, drive five hours inland and visit Temora.
5. Take a short flight to Canberra and visit the Australian War Memorial.
Or, 6 just come to Melbourne...
HTH.