LaDainian Tomlinson of the San Diego Chargers with 9 consecutive seasons (2001-2009) of 10+ rushing TDs per season. The next highest is Shaun Alexander of the Seattle Seahawks with 5 consecutive seasons (2001-2005). The active longest streak is 4 (2007-2010) by Adrian Peterson of the Minnesota Vikings.
Emmitt Smith,with 18,355 rushing yards, currently holds the record for the highest rushing yards in the game.
Barry Sanders, with 14 for Detroit in 1997
The Pittsburgh Pirates, with 20 losing seasons. They broke their own previous record of 19 consecutive losing seasons. :-(
The Baltimore Orioles?
The Dallas Cowboys
tampa bay 14 years
Rickey Henderson in 25 straight seasons!! Ty Cobb in 24 seasons