James Larry Grantham was an American professional football player who was a linebacker for the New York Titans/Jets of the American Football League (AFL) and later National Football League (NFL). He played college football for the Ole Miss Rebels. He also played pro ball for the Florida Blazers of the World Football League (WFL).

The Ole Miss Rebels football program represents the University of Mississippi, also known as "Ole Miss". The Rebels compete in the Football Bowl Subdivision (FBS) of the National Collegiate Athletic Association (NCAA) as members of the Southeastern Conference (SEC). The Rebels play their home games at Vaught–Hemingway Stadium on the university's campus in Oxford, Mississippi.