During his war service Finch was given leave to act in radio, theatre and film. He appeared in a number of propaganda shorts, including Another Threshold (1942), These Stars Are Mine (1943), While There is Still Time (1943) and South West Pacific (1943), the latter for Ken G. Hall. He also appeared in two of the few Australian feature films made during the war, The Rats of Tobruk (1944) and the less distinguished Red Sky at Morning (1944).
As announced in 2017, the US PGA Championship was moved from August to May, starting in 2019. The PGA of America cited the addition of golf to the Summer Olympics, as well as cooler weather enabling a wider array of options for host courses, as reasoning for the change. It was also believed that the PGA Tour wished to re-align its season so that its FedEx Cup Playoffs would not have to compete with the start of the NFL season in early September, since both United States broadcast partners (CBS and NBC) are NFL broadcast partners.
Finch co-wrote and directed an award-winning short film, The Day (1960) and announced plans to direct a feature but it did not eventuate. He won his third BAFTA for Best Actor for No Love for Johnnie (1961), although like Oscar Wilde, the film lost money. He was originally chosen to play Julius Caesar in Cleopatra (1963) and filmed scenes in London, but when the film was postponed he withdrew; the role was recast with Rex Harrison.