Not that anyone really cares about Kentucky football, but their rivals are Tennessee and Vanderbilt. Miss St, USCe, UGa doesn't make any sense. And the SEC tried to make Ark and LSU are rivalry when Ark came into the conference. Replace Ole Miss with LSU for Ark. And USCe? They truly don't have a rival except OOC Clemson. Here's my half-assed attempt:
Missouri: Oklahoma, Arkansas, Ole Miss
Arkansas: Missouri, Texas, LSU
Texas A&M: LSU, Texas, Mississippi State
Texas: Oklahoma, Texas A&M, Arkansas
Oklahoma: Texas, Missouri, Florida
LSU: Arkansas, Texas A&M, Alabama
Ole Miss: Mississippi State, Auburn, Missouri
Mississippi State: Ole Miss, Vanderbilt, Texas A&M
Alabama: Auburn, Tennessee, LSU
Auburn: Alabama, Georgia, Ole Miss
Vanderbilt: Tennessee, Kentucky, Miss State
Tennessee: Vanderbilt, Alabama, Kentucky
Kentucky: Tennessee, Vanderbilt, S Carolina
Georgia: Auburn, Florida, S Carolina
Florida: Georgia, South Carolina, Oklahoma
South Carolina: Florida, Kentucky, Georgia