Oakland Athletics with 5 between 1971-1975. This was before the playoffs were expanded to include an ALDS, which started in 1995. Since 1995 and the beginning of the ALDS, the New York Yankees went to 4 straight between 1998-2001.
Bills 4
Florida with 34
Texas tech
Montreal Canadiens 34
UCLA with 13!
UCLA with 10, Cincinnati and Duke with 5
Marv Levy
The NFL.
Internazionale is the team in the Serie A that has the most number of consecutive wins.
The Indianapolis Colts hold the record for the last decade, 9 appearances in the last 10 years. 2000, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009. They did not make the playoffs in 2001. If they make the playoffs in 2010, they will still have 9 appearances in the last 10 years, and will tie the record of the most consecutive playoff appearances in the NFL.
The Dallas Cowboys but this was back in the 1970's so idk now
Miami Dolphins - Super Bowls VI, VII, and VIII.