He did radio acting work with Hugh Denison's BSA Players (for Broadcasting Service Association, later to become Macquarie Players). He came to the attention of Australian Broadcasting Commission radio drama producer Lawrence H. Cecil, who was to act as his coach and mentor throughout 1939 and 1940. He was "Chris" in the Children's Session and the first Muddle-Headed Wombat.
In 1934–35 he appeared in a number of productions for Doris Fitton at the Savoy Theatre, some with a young Sumner Locke Elliott. He also worked as a sideshow spruiker at the Sydney Royal Easter Show, in vaudeville with Joe Cody and as a foil to American comedian Bert le Blanc. At age 19 Finch toured Australia with George Sorlie's travelling troupe.
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