as of 12/02/2010, Kansas has the longest current home winning streak at 64 games.
Current (prior to KU's win against UCLA as of this writing) can be found at http://web1.ncaa.org/stats/StatsSrv/rankings?sportCode=MBB&doWhat=showstreaks&division=1
For all-time streaks, here is a quasi answer, but Kentucky IMHO should have an asterisk as they have a history of being less than honorable during these years.
http://www.mikebond.org/2009/11/21/top-ten-ncaa-college-Basketball-home-winning-streaks/
Kentucky
Kentucky wildcats
The longest winning streak by a junior varsity basketball girls team was 80 strait games by a school in Akron, Ohio. It is worthy to consider that many schools do not report these streaks for this level, so there could be an unreported streak that is higher.
Akron Zips 10
universality of Wisconsin-Whitewater has the longest winning streak in all of college football
womens college basketball. uconn
Kansas (64 home wins as of 12.02.10)
Ucla
Kentucky
UCLA's 88 game win streak is the longest in mens basketball
7 wins
UCLA has the longest overall winning streak. However the Butler Bulldogs have the longest CURRENT winning streak in men's division 1 college basketball. As of 3/26/2010 Butler has 23 consecutive wins.
Kentucky
University of Kansas Jayhawks
Duke
Kentucky wildcats
The longest winning streak by a junior varsity basketball girls team was 80 strait games by a school in Akron, Ohio. It is worthy to consider that many schools do not report these streaks for this level, so there could be an unreported streak that is higher.