In 1944 Utah beat Dartmouth, 42-40, in the first NCAA championship overtime game.
Connecticut beat Louisville, 76-54, in the Women's 2009 NCAA Basketball Championship game.
In the NCAA Men's Division 1 Championship, the game itself is simply called the championship game. The tournament leading up the the championship is referred to as "March Madness" and the four teams that play to determine who will play for the NCAA Division 1 Championship are collectively referred to as the "Final Four."
The easiest way to track the dates of a Final Four (for the NCAA men's basketball tournament) is to look at a calendar and find the first Monday in April. That Monday is the date of that year's Championship Game between the winners of the first round of the Final Four. The first round of the Final Four is played on the Saturday before the Championship Game. For example, in 2013, the Championship Game was played on Monday, April 1st. The tournament Semi-finals (the first round of the Final Four) where held on Saturday, March 30th.
Arkansas beat Duke, 76-72, in the 1994 NCAA Men's Basketball Championship game.
"The BCS National Championship Game, presented by Allstate."
Sixty four teams start. Each game eliminates one of the playing teams, so at the end of the first round there are thirty two remaining. The semi-final round is the last before the championship round, so only two remain.
In NCAA division 2 there is a playoff that culminates in a championship game. Imagine that.