among the honors bestowed upon mumford include him being elected president of the swac and executive vice president of the national association of intercollegiate athletics. in 1958 he was inducted into the naia–helms foundation hall of fame. in 1960 he was named "coach of the decade" for the 1950s by the 100% wrong club of atlanta, an organization that fosters hbcu athletic competition. in 1961 he was given the small college service award "for outstanding contributions to intercollegiate athletics" by the football writers association of america. on february 25, 1962, shortly before his sudden death, mumford was recognized by the baton rouge alumni chapter of kappa alpha psi "for outsanding achievement and social service." though he was much more closely associated with the naia, the national collegiate athletic association even made a special point to issue a memorial resolution for mumford at its fifty-seventh annual convention, in 1963. southern's a. w. mumford stadium, which saw its original concrete grandstand constructed during his tenure, was renamed for him on september 25, 1982, following an expansion project. mumford was subsequently posthumously inducted into the louisiana sports hall of fame (1984), the southern university sports hall of fame (1988), the swac hall of fame (1992), the hbcu heritage museum and hall of fame (before or in 2000), and the college football hall of fame (2001). the american football coaches association, of which he was a member, also selected him posthumously for the 2006 trailblazer award, for his coaching accomplishments at an hbcu in the decade of the 1940s (an especially noteworthy achievement considering that, back in 1960, he had been named "coach of the decade" for another decade—the 1950s). in 2011 he was inducted into the west virginia sports hall of fame. in october 2016 the city of buckhannon, west virginia erected a plaque at the lot where his childhood home had been located. on november 4, 2016 mumford was again acknowledged by the southern university sports hall of fame, this time with a new, life-sized statue bearing his likeness. most recently he was inducted into the black college football hall of fame, in 2019.