[1] Coppin's many stage appearances include the Child Catcher in the Australian national production of Chitty Chitty Bang Bang, Mr Mushnik in the 2016 Australian national tour of Little Shop of Horrors, Robert Helpmann in his one-man play Lyrebird: Tales of Helpmann, and Puck in the acclaimed Opera Australia production of Benjamin Britten's A Midsummer Night's Dream directed by Baz Luhrmann with set and costumes by Catherine Martin.
In 1989, at the request of playwright Patrick White he played the role of Young Manitoba in the Sydney Theatre Company production of The Ham Funeral, directed by Neil Armfield.
Coppin has appeared in the Melbourne Theatre Company's production of Born Yesterday, His Girl Friday, Ruby Moon, A Behanding in Spokane by playwright Martin McDonagh, and as Vice Principal Panch in The 25th Annual Putnam County Spelling Bee, for which he wrote additional material.
His film appearances include Hacksaw Ridge directed by Mel Gibson, The Spierig Brothers' Winchester and Predestination, The Death and Life of Otto Bloom, The Tender Hook, Emulsion, One Night Stand, Lorca and the Outlaws and Mad Max 2.
These include Heath Ledger, Melissa George, Joel Edgerton, Magda Szubanski, Ben Mendelsohn, Colin Friels, Marcus Graham, Madeleine Madden and Mavournee Hazel.