Leslie John William Eunson (b. 15 April 1922, Houl, Fair Isle, d. 19 March 2000) was an insurance agent and a Shetland Islands Councillor, representing Lerwick Braewick from 1982 until 1986. His late brother Cecil was also a councillor for a lengthy period.
Although an insurance agent for most of his life, Leslie had served in the RAF in India in the latter parts of the second World War. He was also a keen footballer, playing as a defender for Bigton alongside fellow councillor Willie Tait. between 1964 and 1972 he was the President of the Shetland Football Association. He also held interests in darts and fishing.