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Stewart studied at the Sydney City Ballet Academy (1983) and the Australian Ballet School (1984–1985). He has danced with the Australian Dance Theatre, the Queensland Ballet, Expressions Dance Company and The One Extra Dance Company (Onex) and has performed with the Sydney Theatre Company. He is the artistic director of the Australian Dance Theatre (ADT), and has choreographed 12 performances since his joining in 1999. Meryl Tankard was the artistic director prior to him, Garry has choreographed more performances than any other artistic director in the history of the ADT.
Stewart began his dance training in 1983 at the before studying at the between. As a performer he appeared with a number of companies including. He also worked on many independent projects. In 1989 he performed the role of Luke in production of Harold in Italy. He founded the dance company Thwack in 1997.
- Australian Ballet School – Untitled (1985)
- Australian Dance Theatre – Zen Do Some Nothing (1986)
- Sydney based freelance choreographer (1990 – 1998)
- Plastic Space Melbourne Festival (1998)
- Birdbrain (a deconstruction of Swan Lake)
- Australian Dance Theatre
- Housedance performed on the outside of the main sail of the Sydney Opera House on New Year's Eve 1999
- The Age of Unbeauty – outstanding choreographic achievement for at the 2002 Australian Dance Awards
- HELD (a collaboration with U.S. dance photographer Lois Greenfield) 2004 Adelaide Bank Festival – 2004 Helpmann Award for Best Choreography in a Ballet or Dance Work
- Devolution (2006) – 2006 Helpmann Awards Best New Australian Work and Best Lighting
- G (Giselle) 2008 Adelaide Bank Festival
- Be your Self 2010
- Worldhood 2011 with the Adelaide college of Arts
- Proximity premiere on 25 feb 2012 for Adelaide Festival
- So You Think You Can Dance 2008 Channel 10 reality television show
- Vocabulary with Kat Worth from Restless Dance Company (2005)
- Honour Bound based on the experiences of Terry and David Hicks – Best New Australian Work and Best Mainstream Production at the Sydney Theatre Awards. Directed by Nigel Jamieson, Commissioned by and performed at the Sydney Opera House (August 2006) and Malthouse Theatre (Melbourne - September 2006). Toured to The Vienna Festival (May 2007), Holland Festival (Amsterdam - June 2007), Barbican Theatre (London - November 2007) and The New Zealand International Arts Festival (Wellington - March 2008)
- Rambert Dance Company – Infinity (2007)
- Birmingham Royal Ballet – The Centre and its Opposite (2009)
- Nascent, a film created by Gina Czarnecki and choreographed by Garry Stewart – 2005 Adelaide Film Festival – Australian Dance Award for Dance Film and IMZ Dance Screen Delegates' Award
- In April 2006, Stewart co-produced and directed the dance gala UNIFIED for UNICEF Australia to benefit the Gap Youth Centre in Alice Springs for Indigenous Australian young people and an HIV/AIDS program for children in Laos.