In this list, we will be including winners of the AP, Coaches, BCS, and College Football Playoffs:

AP Era

1936: Minnesota Golden Gophers (7-1)
1937: Pittsburgh Panthers (9-0-1)
1938: TCU Horned Frogs (11-0)
1939: Texas A&M Aggies (11-0)
1940: Minnesota Golden Gophers (8-0)
1941: Minnesota Golden Gophers (8-0)
1942: Ohio State Buckeyes (9-1)
1943: Notre Dame Fighting Irish (9-1)
1944: Army Cadets (9-0)
1945: Army Cadets (9-0)
1946: Notre Dame Fighting Irish (8-0-1)
1947: Notre Dame Fighting Irish (9-0)
1948: Michigan Wolverines (9-0)
1949: Notre Dame Fighting Irish (10-0)

AP/Coaches Poll Era

1950: Oklahoma Sooners (10-1)
1951: Tennessee Volunteers (10-1)
1952: Michigan State Spartans (9-0)
1953: Maryland Terrapins (10-1)
1954: AP - Ohio State Buckeyes (10-0); Coaches - UCLA Bruins (9-0)
1955: Oklahoma Sooners (11-0)
1956: Oklahoma Sooners (10-0)
1957: AP - Auburn Tigers (10-0); Coaches - Ohio State Buckeyes (9-1)
1958: LSU Tigers (11-0)
1959: Syracuse Orangemen (11-0)
1960: Minnesota Golden Gophers (8-2)
1961: Alabama Crimson Tide (11-0)
1962: USC Trojans (11-0)
1963: Texas Longhorns (11-0)
1964: Alabama Crimson Tide (10-1)
1965: AP - Alabama Crimson Tide (9-1-1); Coaches - Michigan State Spartans (10-1)
1966: Notre Dame Fighting Irish (9-0-1)
1967: USC Trojans (10-1)
1968: Ohio State Buckeyes (10-0)
1969: Texas Longhorns (11-0)
1970: AP - Nebraska Cornhuskers (11-0-1); Coaches - Texas Longhorns (10-1)
1971: Nebraska Cornhuskers (13-0)
1972: USC Trojans (12-0)
1973: AP - Notre Dame Fighting Irish (11-0); Coaches - Alabama Crimson Tide (11-1)
1974: AP - Oklahoma Sooners (11-0); Coaches - USC Trojans (10-1-1)
1975: Oklahoma Sooners (11-1)
1976: Pittsburgh Panthers (12-0)
1977: Notre Dame Fighting Irish (11-1)
1978: AP - Alabama Crimson Tide (11-1); Coaches - USC Trojans (12-1)
1979: Alabama Crimson Tide (12-0)
1980: Georgia Bulldogs (12-0)
1981: Clemson Tigers (12-0)
1982: Penn State Nittany Lions (11-1)
1983: Miami Hurricanes (11-1)
1984: BYU Cougars (13-0)
1985: Oklahoma Sooners (11-1)
1986: Penn State Nittany Lions (12-0)
1987: Miami Hurricanes (12-0)
1988: Notre Dame Fighting Irish (12-0)
1989: Miami Hurricanes (11-1)
1990: AP - Colorado Buffaloes (11-1-1); Coaches - Georgia Tech Yellow Jackets (11-0-1)
1991: AP - Miami Hurricanes (12-0); Coaches - Washington Huskies (12-0)

Bowl Coalition/Bowl Alliance Era

1992: Alabama Crimson Tide (13-0)
1993: Florida State Seminoles (12-1)
1994: Nebraska Cornhuskers (13-0)
1995: Nebraska Cornhuskers (12-0)
1996: Florida Gators (12-1)
1997: AP - Michigan Wolverines (12-0); Coaches - Nebraska Cornhuskers (13-0)

Bowl Championship Series Era

1998: Tennessee Volunteers (13-0)
1999: Florida State Seminoles (12-0)
2000: Oklahoma Sooners (13-0)
2001: Miami Hurricanes (12-0)
2002: Ohio State Buckeyes (14-0)
2003: BCS - LSU Tigers (13-1); AP - USC Trojans (12-1)
2004: USC Trojans (13-0)
2005: Texas Longhorns (13-0)
2006: Florida Gators (13-1)
2007: LSU Tigers (12-2)
2008: Florida Gators (13-1)
2009: Alabama Crimson Tide (14-0)
2010: Auburn Tigers (14-0)
2011: Alabama Crimson Tide (12-1)
2012: Alabama Crimson Tide (13-1)
2013: Florida State Seminoles (14-0)

College Football Playoff Era

2014: Ohio State Buckeyes (14-1)
2015: Alabama Crimson Tide (14-1)
2016: Clemson Tigers (14-1)
2017: Alabama Crimson Tide (13-1)
2018: Clemson Tigers (15-0)
2019: LSU Tigers (15-0)
2020: Alabama Crimson Tide (13-0)
2021: Georgia Bulldogs (14-1)
2022: Georgia Bulldogs (15-0)
2023: Michigan Wolverines (15-0)