Boise State University with 24 wins
the uconn girls have an active streak of 89 games from 2008-present
As of 9:00 p.m. on 2/2/10, that would be University of Connecticut Huskies at 61 straight wins.
As of Jan 10, 2012, the answer appears to be Northern Illinois, win a 9 game streak dating back to October 8, 2011.
Caltech beavers 207 games division 3 basketball
University of Wisconsin-Whitewater: 36 wins (as of Oct 15 2011)