Notre Dame streak over Navy is the current all-time leader for the longest consecutuve winning streak over one team in Div. 1A (Bowl Championship Series) football. That streak ended November 2007. The longest active streak is the Universty of Kentucky's 23 consecutive losses to the Tennesse Volunteers. Kentucky last defeated Tennessee in 1984. The University of Kentucky also has the second longest active losing streak to one team, the University of Florida Gators. The University of Kentucky last defeated Florida in 1985 suffering 21 consecutive losses.
Currently, the Milwaukee Bucks hold the third longest winning streak at 20 games, which they set in the 1970-1971 season.
The longest win streak is held by the 1992-1993 penguins with 17 games. The longest home win streak is held by the 2011-2012 Detroit Red Wings at 23 games The 1979-1980 Philadelphia Flyers hold the longest undefeated streak (wins and ties) at 35 games.
Florida State University - 28 and counting, through the 2009 season. Actually the longest current streak is Boston College at 12 bowls and counting through 12/5/10 although they are bowl eligible this year. FSU does not hold the current record.
Joe DiMaggio with 56 games.
I believe after Navy broke their 43 year losing streak to Notre Dame, the dubious honor now falls to Kentucky versus Tenessee at 23. Unfortunately for Kentucky, I think they also hold the next one too which is a 21 year streak with Florida.
The 2002 Oakland Athletics hold the record for the longest Major League Baseball (MLB) winning streak by an American League (AL) team with 20 consecutive wins.