The Southwest Conference ceased operations 
following the 1995-96 academic year. 

1915 Baylor (3-0), Oklahoma (3-0)
1916 Texas (6-1)
1917 Texas A&M (3-0)
1918 Texas (4-0), Oklahoma (2-0)
1919 Texas A&M (4-0)
1920 Texas (5-0)
1921 Texas A&M (3-0-2)
1922 Baylor (5-0)
1923 Southern Methodist (5-0)
1924 Baylor (4-0-1)
1925 Texas A&M (4-1), Texas Christian (2-0-1)
1926 Southern Methodist (5-0)
1927 Texas A&M (4-0-1)
1928 Texas (5-1)
1929 Texas Christian (4-0-1)
1930 Texas (4-1)
1931 Southern Methodist (5-0-1)
1932 Texas Christian (6-0)
1933 Arkansas (4-1)
1934 Rice (5-1)
1935 Southern Methodist (6-0)
1936 Arkansas (5-1)
1937 Rice (4-1-1)
1938 Texas Christian (6-0)
1939 Texas A&M (6-0)
1940 Southern Methodist (5-1), Texas A&M (5-1)
1941 Texas A&M (5-1)
1942 Texas (5-1)
1943 Texas (5-0)
1944 Texas Christian (3-1-1)
1945 Texas (5-1)
1946 Arkansas (5-1), Rice (5-1)
1947 Southern Methodist (5-0-1)
1948 Southern Methodist (5-0-1)
1949 Rice (6-0)
1950 Texas (6-0)
1951 Texas Christian (5-1)
1952 Texas (6-0)
1953 Rice (5-1), Texas (5-1)
1954 Arkansas (5-1)
1955 Texas Christian (5-1)
1956 Texas Christian (5-1)
1957 Rice (5-1)
1958 Texas Christian (5-1)
1959 Arkansas (5-1), Texas (5-1), Texas Christian (5-1)
1960 Arkansas (6-1)
1961 Arkansas (6-1), Texas (6-1)
1962 Texas (6-0-1)
1963 Texas (7-0)
1964 Arkansas (7-0)
1965 Arkansas (7-0)
1966 Southern Methodist (6-1)
1967 Texas A&M (6-1)
1968 Arkansas (6-1), Texas (6-1)
1969 Texas (7-0)
1970 Texas (7-0)
1971 Texas (6-1)
1972 Texas (7-0)
1973 Texas (7-0)
1974 Baylor (6-1)
1975 Arkansas (6-1), Texas (6-1), Texas A&M (6-1)
1976 Houston (7-1), Texas Tech (7-1)
1977 Texas (8-0)
1978 Houston (7-1)
1979 Arkansas (7-1), Houston (7-1)
1980 Baylor (8-0)
1981 Texas (6-1-1)
1982 Southern Methodist (7-0-1)
1983 Texas (8-0)
1984 Houston (6-2), Southern Methodist (6-2)
1985 Texas A&M (7-1)
1986 Texas A&M (7-1)
1987 Texas A&M (6-1)
1988 Arkansas (7-0)
1989 Arkansas (7-1)
1990 Texas (8-0)
1991 Texas A&M (8-0)
1992 Texas A&M (7-0)
1993 Texas A&M (7-0)
1994 Baylor (4-3), Rice (4-3), Texas (4-3), 
     Texas Christian (4-3), Texas Tech (4-3)
1995 Texas (7-0)

Texas A&M (1956, 6-0), Southern Methodist (1981, 7-1), 
and Texas A&M (1994, 6-0-1) were on probation and 
ineligible for the conference title