Actually, the team in United States professional sports history with the most consecutive games without a loss is the 1979-80 Philadelphia Flyers (NHL), who played 35 consecutive games without a loss (this stretch includes 10 ties).
New England Patriots
The Boston Red Sox have sold out the most consecutive games in MLB history while the Portland Trailblazers have sold out the most consecutive home games in the NBA (and in North America for any sport).
Whitey Ford w/ 21 consecutive starts w/o loss @ homeCC Sabathia w/ 21 consecutive starts w/o loss @ home
Check out the 'Consecutive Games Played Streaks' link on this page to see the 15 longest consecutive games played streaks in MLB history.
mount cordial soccer team
Karlis Skrastins, with 495 games.
Joe DiMaggio - 56 consecutive games with a base hit in 1941.
Norte dame has more consecutive wins and overall championships in NCAA history.