The Dinos program has been in operation since 1964, winning the Vanier Cup national championship five times (1983, 1985, 1988, 1995, 2019), the most out of any of the Canada West teams.

The Dinos have also won the Hardy Trophy conference championship 18 times, including six consecutive wins from 2008 to 2013.

The team appeared in the 2013 and 2016 Vanier Cup, but lost both years to the Laval Rouge et Or.

Calgary is 9-8 in national semi-final games and 5-5 in the Vanier Cup.

(*) The Dinos won the 1983 Atlantic Bowl by default as the AUAA protested and forfeited the game over disputes about the game's location.As of the end of the 2024 CFL season, 18 former Dinos players were on CFL teams' rosters: [2]