There are two national daily newspapers: The Australian, a broadsheet owned by News Limited, and The Australian Financial Review, a tabloid-sized business paper owned by Fairfax Media. The Australian is conservative and highbrow in tone (rather like its Murdoch stablemate The Times, to get an idea); the Financial Review is economically right-wing (so Americans, think of The Wall Street Journal).
Each of the state capitals has a daily conservative tabloid newspaper: The Daily Telegraph in Sydney, the Herald Sun in Melbourne, The Courier-Mail in Brisbane, The Advertiser in Adelaide, The West Australian in Perth, and The Mercury in Hobart. All of these, except for The West Australian, are owned by News Limited. Sydney and Melbourne each also have their own left-wing / centrist, somewhat more highbrow tabloid (formerly broadsheet): The Sydney Morning Herald in Sydney (obviously) and The Age in Melbourne, both of which are owned by Fairfax.
The two territory capitals have one daily newspaper each. Darwin has the Northern Territory News, a conservative tabloid owned by News Limited, but with a long-held and jealously guarded reputation for coming up with amazing puns for their headlines ("Catnappers Shaved my Pussy" was printed, in all its glory, on the front page of the 22 November 2016 edition, to widespread acclaim and general hilarity). The national capital Canberra has The Canberra Times, a centre-left broadsheet owned by Fairfax.
There are smaller local newspapers, as well as national papers in languages other than English, such as the Italian Il Globo, but save for a few exceptions, these are only produced weekly and have low readership. There are also a variety of Australian magazines, such as the monthly Women's Weekly (work out the joke) and the now defunct news magazine Bulletin, as well as magazines from the United States, such as Time and from the Old Country, such as The Economist. The Saturday Paper has been brought back into circulation after a long hiatus, and is, as inferred by the name (a dangerous assumption, as the Women's Weekly shows), a weekly paper with a bent that is fairly radical (by Aussie standards)
The Guardian and the Daily Mail now also have dedicated online-only editions for Australia, and basically take on the political viewpoints of their British cousins (the Guardian is left and aims for a progressive middle class readership, and the Daily Mail is... whatever the Daily Mail is, but with less outright pornography. Australians generally don't want an eyeful in their newspapers.)
As the above quote shows, Australian readership levels are among the highest in the world. Actually, the national teams always ask for many newspapers to read as possible when abroad.
Finally, the ABC (Australian Broadcasting Corporation) maintains a very well regarded online, TV, and radio news service, but does not actually print newspapers, whether online or hard copy; see the article about Aunty to see what that's all about.
In summary:
The Australian: Nation-wide, conservative, Rupert Murdoch paper for Australia’s wealthy business elite
The Australian Financial Review: Nationwide, conservative, paper for the wealthy business elite. More focused on information and minutiae. Owned by Fairfax.
Daily Telegraph, Herald Sun, Courier-Mail, The West Australian, The Advertiser and Northern Territory News : These are considered to be slanted to the centre-right of the political spectrum and are considered by some to be the best place to reach the Aussie “floating” voters during a political campaign.
The Age, The Sydney Morning Herald and The Canberra Times: These are considered to be slanted to the centre-left of the political spectrum. The phrase “‘Age’ reader” is generally used as the Aus Eng version of the UK term “‘Guardian’ reader”.
The Guardian and the Daily Mail: The Australian and online-only editions of their British cousins, with all the characteristics of the British paper.
A Final Note:
Since it was done for American Newspapers, we should also adapt the Yes, Minister quote for Down Under:
