After several successful shows with Stuck Pigs Squealing, Katz began to receive commissions from Australia's main-stage theatre companies.
In 2014 Katz adapted Henrik Ibsen's A Doll's House for La Boite Theatre Company and Brisbane Festival, directed by Steven Mitchell Wright.
In 2015 Katz's play The Cat was part of a sold-out double bill with Brendan Cowell's "The Dog" at Belvoir in Sydney.
Katz participated in the attachment programme at the Studio at the National Theatre in London in 2009 and won a British Council Realise Your Dreams grant for 2010.
In 2012 Katz won InStyle Magazine's Women Of Style Award in the arts category and in 2013 she was the inaugural recipient of an Australian Writers’ Foundation Playwriting Grant.
Katz’s work for television includes adult one-hour dramas Wonderland, Wentworth , and Spirited and children’s series The Elephant Princess.
Stories I Want to Tell You in Person was adapted as a two-part television series by the ABC in 2017, starring Katz and Robyn Nevin.
[4] Her 2009 play, Goodbye Vaudeville, Charlie Mudd, was performed in the Beckett Theatre at the Malthouse and received the State Library of Victoria's Louis Esson Prize for Drama.