The longest current winning streaks over Kansas State belong to Nebraska (2005-2010) and Tulsa (1978-1988), six games each. Then there’s Michigan State, against whom K-State tied once back in 1933, but between 1940-1958 the Spartans beat the Cats five times and they’ve been ducking K-State ever since. Auburn and Boston College are both 4-0 all-time against the good guys, and with one more addition those are the longest current losing streaks against any one team for K-State.
That addition is the holder of the longest conference winning streak (among current Big 12 members) against K-State.