Here are all of the 30+ overall win streaks:
35 games in a row- the entire 1994-95 season. UConn actually lost its season opener (to La Tech) to start the 1995-96 season.
33 games in a row- 1996-97 home opener until the regional finals loss to Tennessee after Shea was injured.
30 games in a row- 2/5/00-1/15/01. Lost by two to Tennessee on 2/5/00, went on to win 17 in a row en route to the NC, and then won the first 13 games of the 2000-01 season before falling to Notre Dame.
70 games in a row- entire 2001-02 season until the loss on 3/11/03 to 'Nova in the BET finals.
90 games in a row- 11/16/08-12/30/10