Bullington was named to the All-Texas Conference football team in 1950, 1951 and 1952 and was selected an All-American in 1952.
[8] While an assistant coach at Abilene High School, the Dallas Morning News named the squad the "Team of the Century" due to their 49-game winning streak.
[14] In 1976, his team won the San Juncito Shrine Bowl[15] with a victory over Southwestern Oklahoma State by a score of 24–7.
[17] The Lone Star Conference inducted Bullington into its "Wall of Honor" in 1999 for his accomplishments as a player, coach, and administrator.
[18] In 2002, Bullington came out of retirement to serve as the interim athletic director at Abilene Christian, a position he had previously held.