Oregon ducks won the first National Championship in 1939.
the boston celtics
In men's basketball, Kentucky has more NCAA basketball championships. Kansas' men's basketball team has won the NCAA championship three times while Kentucky's men's basketball team has won the NCAA championship eight times. In women's basketball, neither team has a championship.
football- LSU Basketball- Kansas
UCLA beat Duke.
Arkansas beat Duke, 76-72, in the 1994 NCAA Men's Basketball Championship game.
Well, since the Big 12 has been around (1996), no team has won the championship. However, two teams currently playing in the Big 12, Kansas and Oklahoma State, have won championships. Kansas was the last to win, in 1988.