Three schools have gone to five consecutive Women's Final Fours; The Louisiana State Lady Tigers (2004-2008), the Stanford Cardinal (2008-present), and the Connecticut Huskies (twice; 2000-2004 and 2008-present).
big ten
Michigan State - 4 times, followed by Kansas, Duke, North Carolina and Florida with 3 each
either Roy Williams or Dean Smith
chris benoit
The current leader for most consecutive appearances is Arizona with 23.
Bills 4
dallas cowboys
With the victory over Xavier in 2008, UCLA has 18 Final Four appearances. If North Carolina wins, they will notch their 17th appearnce.
Florida with 34
Texas tech
Technically, UCLA and North Carolina have each reached the Final Four of the NCAA men's basketball tournament 18 times-- through 2013. However, UCLA was forced to vacate its 1980 Final Four participation due to infraction stemming from the use of ineligible players. Thus, the NCAA credits UCLA with only 17Final Four appearances.