The most consecutive games is:
82 games, By:Shelbyville Bedford County Training (78-0-4) 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950
The most consecutive season's being undefeated is:
7 season's, By:Shelbyville Bedford County Training 1943, 1944, 1945, 1946, 1947, 1948, 1949
for other records you can look them up at:
http://www.tssaa.org/schdir/records/GetRecord.cfm