North Carolina has the most consectutive NCAA tounament appearances ever with 27 from 1975 - 2001.
Current streaks:
Kansas: 21 (1990 - 2010)
Duke: 15 (1996 - 2010)
Michigan State: 13 (1998 - 2010)
Gonzaga, Texas, Wisconsin: 12
Arizona had a streak of 25 appearances broken in 2010.
Source: espn.com
sports.espn.go.com/ncb/news/story?id=4995190
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Including the 2008 NCAA Men's Basketball Tournament, the University of Kentucky has 17 consecutive appearances. Their current streak began with the 1992 tournament, and is currently the third longest active streak behind Arizona (24) and Kansas (18). Duke University is fourth on the list with 13 consecutive appearances.
Mickey Mantle's longest hitting streak was 16 games.
Their longest is 8
The Boston Bruins' longest streak was 14 games from December 3, 1929 to January 9, 1930
20