In what? Basketball? Baseball? Soccer? Bowling? Dog shows? You need to be more specific in your question.
The UCLA Lady Bruins have won the most National Championships in Collegiate Fastpitch Softball...I believe they have won 25 or 26 National Championships.
texas
The Yankees
in what sport
Total, they have won 21 National Championships and rank anywhere from #7 to #11 in the nation for the most Championships obtained.
They have won 21 national wrestling championships
UCLA Bruins
Florida
No Alabama football coaches have won national championships.
North Carolina, they have won 27.
The Green Bay Packers have won the most league championships, with 12 wins, including three Superbowl wins.
Montreal Canadiens with 24