James J. Lindsay (16 October 1891 – 1951) was a Scottish professional footballer who played as an inside forward. Lindsay signed for Burnley in 1914 after club officials observed his impressive performances during the Vienna Cup whilst on loan to Irish club Glentoran, who won the tournament. He was a member of the Clarets squad that won the 1920–21 Football League championship, contributing 8 appearances and 2 goals. His elder brother William was also a footballer; they were teammates at Glentoran.