[2][3] In 2007 Stone founded the independent theatre company The Hayloft Project and adapted and directed their inaugural production of Frank Wedekind's Spring Awakening.

In 2010 he directed and co-wrote with Mark Leonard Winter, Thomas Henning and Chris Ryan a version of Seneca's Thyestes for The Hayloft Project and Malthouse Theatre, Melbourne.

In his first year he wrote and directed The Wild Duck, after Henrik Ibsen, which has become his calling card production and has played internationally, including at the Holland Festival.

[2][7] For Theater Basel, where he was a house director from 2015, he has directed Angels in America, John Gabriel Borkman (for which he won the 2015 Nestroy Theatre Prize), Three Sisters, and Korngold's opera Die tote Stadt.

Stone directed Luigi Cherubini's opera Médée at the 2019 Salzburg Festival,[15] returning there in 2023 for Martinů's The Greek Passion sung in English.

[17] He made his debut at the Metropolitan Opera in New York in 2022 with Donizetti's Lucia di Lammermoor, set in present-day America's Rust Belt.

His updated adaptation of Phaedra was produced at the National Theatre February to April 2023; the company included Mackenzie Davis, Assaad Bouab and Janet McTeer.

Stone has acted in the television series John Safran's Music Jamboree, MDA, Blue Heelers, Rush, City Homicide, and the films Jindabyne, Kokoda, Balibo, Blame, and The Eye of the Storm.