The following five items are gleaned from Wikipedia.
(i) University of Sydney (commonly referred to as Sydney University; public; Founded in 1850, it is Australia's first university and is regarded as one of its most prestigious)
(ii) University of Melbourne (commonly referred to as Melbourne University; Established 1853; ranked as Australia's best university by [some global organizations])
(iii) University of New South Wales (at Kensington, seven kilometres from the centre of Sydney; public; Established in 1949)
(iv) For ASIO, see Australian Security Intelligence Organisation
en.wikipedia.org/wiki/Australian_Security_Intelligence_Organisation
(Parent agency Attorney-General's Department)
(v) Swinburne University of Technology
en.wikipedia.org/wiki/Swinburne_University_of_Technology
(public; in Melbourne; founded in 1908 by [engineer/politician] George Swinburne)
(b) Fairfax Media Limited (John Fairfax purchased The Sydney Morning Herald in 1841; owns two main metropolitan newspapers, The Sydney Morning Herald and The Age (Melbourne)) Wikipedia