1988 ... the Orioles lost an MLB record 21 consecutive games to start the season.
Joe DiMaggio hit in 56 consecutive games during the 1941 season.
In the 2006 season, the New England Patriots went 12-4. The Patriots went 2-1 in post season play. In the 2007 season, the New England Patriots went 16-0. The Pats went 2-1 in post season play.
The MLB consecutive games with a base hit record is held by Joe DiMaggio of the New York Yankees who got a hit in 56 consecutive games in the 1941 season.
The Tampa Bay Buccaneers lost all 14 games in their first season (1976) and the first 12 games of their second season. The total of 26 consecutive losses is an NFL record.
The person who has the most consecutive starts through out the regular season and post season is Peyton Manning.