What NFL team holds the record for most playoff games lost in a row?

Through the 2008 season, the NFL record for most consecutive playoff games lost is 6 and is held by 7 teams. 3 of the 7 teams' losing streak are current.

Current 6 game playoff losing streaks -

1) Detroit Lions - 1991 NFC Conference Championship, 1993 NFC Wildcard, 1994 NFC Wildcard, 1995 NFC Wildcard, 1997 NFC Wildcard, 1999 NFC Wildcard
2) Dallas Cowboys - 1996 NFC Division, 1998 NFC Wildcard, 1999 NFC Wildcard, 2003 NFC Wildcard, 2006 NFC WIldcard, 2007 NFC Division
3) Kansas City Chiefs - 1993 AFC Conference Championship, 1994 AFC Wildcard, 1995 AFC Division, 1997 AFC Division, 2003 AFC Division, 2006 AFC Wildcard

Historic 6 game playoff losing streaks -

1) Cleveland Browns - 1969 NFL Conference Championship, 1971 AFC Division, 1982 AFC Division, 1980 AFC Division, 1982 AFC Wildcard, 1985 AFC Division
2) New York Giants - 1939 NFL Championship, 1941 NFL Championship, 1943 NFL Division, 1944 NFL Championship, 1946 NFL Championship, 1950 NFL Division
3) Minnesota Vikings - 1988 NFC Division, 1989 NFC Division, 1992 NFC Wildcard, 1993 NFC Wildcard, 1994 NFC Wildcard, 1996 NFC Wildcard
4) Seattle Seahawks - 1984 AFC Division, 1987 AFC Wildcard, 1988 AFC Division, 1999 AFC Wildcard, 2003 NFC Wildcard, 2004 NFC Wildcard