[4] Rimington won the Outland Trophy, given to the nation's top interior offensive or defensive lineman, in 1981 and 1982 and is the only two-time winner of the award.
[12] In 1999, Rimington was selected as the starting offensive center by Sports Illustrated in their "NCAA Football All-Century Team",[13] and was also selected as the starting offensive center to the Walter Camp Football Foundation All Century Team.
[14] Rimington is the only center named to both the Sports Illustrated and Walter Camp All-Century teams.
[15] The Rimington Trophy is named in his honor and since 2000 has been given annually to the nation's top collegiate center.
[16] Following his professional career, Rimington has served with the Boomer Esiason Foundation in their fight against cystic fibrosis.
[17] Rimington briefly served as the interim athletic director of Nebraska from September 26, 2017,[18] to October 23, 2017, when the former AD Bill Moos was named to the position.