Stephen Burpee Appleby (1836 – December 10, 1903) was a Canadian politician and lawyer. Appleby was born in Florenceville, New Brunswick. In 1864, Appleby married Harriet Elizabeth Estey. He was called to the New Brunswick bar in 1869. Appleby practised law in Woodstock, New Brunswick. He was first elected to the House of Commons of Canada as a member of the Liberal Party in an 1873 by-election held in the riding of Carleton after the death of Charles Connell. Appleby was reelected in the 1874 general election. He was defeated in the 1878 election by Connell's son George Heber Connell.