Arthur William "Skinny" Graham Jr. (August 12, 1909 – July 10, 1967) was an American professional baseball player whose nine-season career included 21 games played as an outfielder and pinch hitter for the 1934–1935 Boston Red Sox.

Baseball Reference lists his pro career as beginning at age 24 in 1934 in the Red Sox' farm system with Reading of the New York–Pennsylvania League;[1] a Society for American Baseball Research biography, however, dates his pro career to earlier in the 1930s in lower-level minor leagues.

He spent most of 1935 in the minors, returning to the Red Sox late in the season and hitting .300 (three for ten) in limited service.

All told, in 21 MLB games, he collected 14 hits, with two doubles, one triple, four runs batted in and three stolen bases.

One of his sons, Arthur III, played professional football for the Boston Patriots of the AFL from 1963 through 1968.