I can remember back to the 1950's about UConn. They never had a football program that could compete even in the "Yankee Conference".
Might want to blow the dust off those memories a bit more. UConn has won 25 conference championships, 15 shared and ten outright, including 2 Big East conference co-championships. The last year in Big East they went to the Fiesta Bowl.
UConn Football Conference Championships
Season Coach Conference Overall Record Conference Record
1901 T. D. Knowles Athletic League of New England State Colleges 8–2 1–0
1924 Sumner Dole New England Conference 6–0–2 3–0
1926† Sumner Dole New England Conference 7–1 2–1
1928† Sumner Dole New England Conference 4–1–3 1–0–2
1936 J. Orlean Christian New England Conference 7–2 2–0
1937† J. Orlean Christian New England Conference 6–2–1 1–0
1942 J. Orlean Christian New England Conference 6–2 2–0
1945 J. Orlean Christian New England Conference 7–1 2–0
1949† J. Orlean Christian Yankee Conference 4–4–1 2–0–1
1952† Robert Ingalls Yankee Conference 5–3 2–1
1956 Robert Ingalls Yankee Conference 6–2–1 3–0–1
1957† Robert Ingalls Yankee Conference 5–4–1 3–0–1
1958 Robert Ingalls Yankee Conference 7–3 4–0
1959 Robert Ingalls Yankee Conference 6–3 4–0
1960† Robert Ingalls Yankee Conference 5–4 3–1
1968† John Toner Yankee Conference 4–6 4–1
1970 John Toner Yankee Conference 4–4–2 4–0–1
1971† Robert Casciola Yankee Conference 5–3–1 4–1–1
1973 Larry Naviaux Yankee Conference 8–2–1 5–0–1
1982† Walt Nadzak Yankee Conference 5–6 3–2
1983† Tom Jackson Yankee Conference 5–6 4–1
1986† Tom Jackson Yankee Conference 8–3 5–2
1989† Tom Jackson Yankee Conference 8–3 6–2
2007† Randy Edsall Big East 9–4 5–2
2010† Randy Edsall Big East 8–5 5–2
† - Co-champions