- Induced into the College Football Hall of Fame in 2001.
- Head football coach at McMurray College (later University) (1960-1965), Angelo State University (1969-1971), and Baylor University (1972-1992).
- Inducted into the Legends of the Sun Bowl in 2006.
- Recipient of the 1993 Robert R. Neyland Memorial Trophy. Awarded annually by the Knoxville Quarterback Club to "an outstanding man who has contributed greatly to intercollegiate athletics".
- Inducted into the Texas Sports Hall of Fame in 1995.
- Athletic director at Baylor University, 1992-1993).
- Grant Teaff Plaza lies at the west end of Floyd Casey Stadium, on the Baylor University campus.
- Recipient of the 2012 Selig Mentoring Award, given by the National Association of College Directors of Athletics (NACDA). Award is named for Commissioner of Baseball Bud Selig and is presented to "a person in athletics administration who has been at the forefront in creating equal opportunities for minorities in the field of athletics".
- Recipient of the 2006 Amos Alonzo Stagg Award, given by the American Football Coaches Association.
- Inducted into the Big 12 Legends in 2008 (inaugural class).
- Inducted into the Fellowship of Christian Athletes Hall of Champions in 1998.
- Assistant football coach at Texas Tech (1966-1968).
- Inducted into the Baylor University Athletics Hall of Fame in 1993.
- Inducted into the McMurray University Hall of Honor in 1984.
- Executive director of the American Football Coaches Association, February 1994-present.
- Inducted into the Big Country Athletic Hall of Fame in 2013.
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