In 2016 Zavros won the Mosman Art Prize, and in 2012 he was awarded the inaugural Bulgari Art Award through the Art Gallery of New South Wales. In 2010 he was awarded the Doug Moran National Portrait Prize, the world’s richest prize for portraiture. He has won three major Australian drawing prizes: the 2002 Jacaranda Acquisitive Drawing Award, the 2005 Robert Jacks Drawing Prize and the 2007 Kedumba Drawing Award, and has been a multiple Archibald Prize finalist. He was the recipient of the 2004 MCA Primavera Collex Art Award.
Zavros has also been the recipient of several international residencies including the Australia Council Greene Street Studio, New York (2014), Milan studio residency in 2001, and the Barcelona studio in both 2005 and 2010. In 2003 he was awarded a Cite International des Arts Residency in Paris through the Power Institute, University of Sydney. In 2004 he was awarded a studio residency at the Gunnery Studios, Sydney, from the NSW Ministry for the Arts.
Between 2007 and 2011, Zavros served on the Visual Arts Board of the Australia Council for the Arts. He served on the board of The National Association for Visual Art (Nava) from 2014 - 2019. He is currently a member of the Griffith University QCA advisory board.
In 2013 he was commissioned by the Australian War Memorial to paint a portrait of Victoria Cross winner Ben Roberts-Smith and in 2017 he was commissioned to paint Dame Quentin Bryce for the National Portrait Gallery.
In 2017 Manuscript published the first Monograph on Zavros’ work.
His work is held in private and public collections, including The National Gallery of Australia, Art Gallery of New South Wales, Queensland Art Gallery, University of Queensland Art Museum, Newcastle Region Art Gallery, Tweed River Art Gallery, Wollongong City Art Gallery and Tasmanian Museum and Gallery.
In 2023 Queensland Art Gallery of Modern Art (QAGOMA) will stage solo survey exhibition of Zavros’ work.