It’s good to know Swedish radio is taking an interest in Australian literature. I’m happy to suggest a few names for you. I assume you’re after living authors! (apart from Patrick White).
The best known would probably be Peter Carey, who has won two Booker prizes. His novel The True History of the Kelly Gang is highly regarded - and very Australian. Someone recently honoured after a long career is Shirley Hazzard.
Others, in no particular order, are: David Malouf; Kate Grenville; Tim Winton; Helen Garner; Thomas Kenneally; Richard Flanagan; Marion Halligan; Peter Porter; Dorothy Porter; Elizabeth Jolley; Murray Bail; Alex Miller; Frank Moorhouse; Robert Drewe; Rodney Hall; Amanda Lohrey; Brian Castro; Janette Turner Hospital.
Some younger writers: Delia Falconer, Sonya Hartnett, Eliot Perlman, Andrew McGahan.
Historically important writers would include Christina Stead (her novel The Man who Loved Children often cited alongside White’s work as best australian novel), Henry Handel Richardson, Marcus Clarke, Henry Lawson, Judith Wright, Miles Franklin and quite a few more.
And I particularly like the work of Amy Witting, who died recently.
Jane Sullivan / The age