<P> In the 1970s, the NFL underwent many changes as it absorbed the AFL and became a unified league, but the Cowboys also underwent many changes . Meredith and Perkins retired in 1969 and new players were joining the organization, like Cliff Harris, and Pro Football Hall of Famers Rayfield Wright, Mike Ditka, Herb Adderley and Roger Staubach . </P> <P> Led by quarterback Craig Morton, the Cowboys had a 10--4 season in 1970 . A 38 - 0 shutout by the Cardinals was the low point of the year, but the team recovered to make it to the playoffs . They defeated Detroit 5--0 in the lowest - scoring playoff game in NFL history and then defeated San Francisco 17--10 in the first - ever NFC Championship Game to qualify for their first Super Bowl appearance in franchise history, a mistake - filled Super Bowl V, where they lost 16--13 to the Baltimore Colts courtesy of a field goal by Colts' kicker Jim O'Brien with five seconds remaining in the contest . Despite the loss, linebacker Chuck Howley was named the Super Bowl MVP, the first and only time in Super Bowl history that the game's MVP did not come from the winning team . </P> <P> The Cowboys moved from the Cotton Bowl to Texas Stadium in week six of the 1971 season . Although the first game in their new home was a 44--21 victory over New England, Dallas stumbled out of the gate by going 4--3 in the first half of the season, including losses to the mediocre New Orleans Saints and Chicago Bears . Landry named Staubach as the permanent starting quarterback to start the second half of the season, and Dallas was off and running . The Cowboys won their last seven regular season games before dispatching of the Minnesota Vikings and San Francisco 49ers in the playoffs to return to the Super Bowl . In Super Bowl VI, behind an MVP performance from Staubach and a then Super Bowl record 252 yards rushing, the Cowboys crushed the upstart Miami Dolphins, 24 - 3, to finally bury the "Next Year's Champions" stigma . That game remains the only Super Bowl to date where one of the teams involved did not score a touchdown . The Cowboys rushed for 252 yards, while holding the Dolphins, who went 17 - 0 in 1972, to 185 total yards . </P> <P> The 1972 season was another winning one for the Cowboys, but their 10--4 record was only good for them to make the playoffs as a wild - card team . In the divisional playoffs they faced the San Francisco 49ers . The 49ers had a 28--13 lead and seemed to have avenged their playoff losses to Dallas in the two previous seasons . But after Landry benched Morton, Staubach threw two touchdown passes with less than two minutes remaining--including the game - winner to Ron Sellers--for a miraculous 30 - 28 Dallas win, the first of several dramatic comebacks led by Staubach during the 1970s . However, they were defeated by their archrival Washington Redskins 26--3 in the NFC Championship Game . </P>

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