Stengell finished with a 1149-696 record in during his time with the Yankees, a winningg percentage of .623. That, plus the Pennants and World Series, is Hall of Fame worthy in itself. However, prior to getting the job with the Yankees, he managed the Brooklyn Dodgers from 1934-1936 and the Boston Bees/ Braves from 1939-1942, 1943. He entered the Yankees dugout with a career 581-742 record, 161 games under .500. Add in his post-Yankees record of 175-404 with the New York Mets and his record when not the manager of the Yankees was 756-1146, a .397 winning percentage. His winning percentages with the Yankees and non-Yankees were nearly inversed. He finished with a career record of 1905-1842, in 3777 games covering 25 seasons.
Comparing numbers alone, not intangibles, a fair match could be Joe Torre. Like Stengel, Torre had his lone success as manager of the Yankees. Also, similarly to Stengel, Torre managed the Mets, Braves (Atlanta) and Dodgers (LA). Torre also had his biggest trouble managing the Mets. Torre's record as manager of the Yankees (1996-2007) was 1173-767, also covering 12 seasons. His winning percentage with the Yankees was .605, but his teams played 162 games, while Stengel's teams played 154 games. Torre's teams won 6 AL Pennants and 4 World Series. However, the Yankees were one of multiple AL playoff teams every season, making Stengel's 10 Pennants in 12 seasons that much more amazing.
Torre joined the Yankees after the 1995 season after managing the Mets (1977-1981), Braves (1982-1984) and Cardinals from (1990-1995). His record was also less spectacular at 894-1003 prior to putting on the pinstripes. He managed the 2008-2010 seasons in LA, finishing with a 259-227 record. Overall, his mangerial record was 2326-1997 in 4329 games, covering 29 seasons. You cannot say Torre's run is equal to what Stengel's teams did. But, a fair enough case can be made for Torre in Baseball's Hall of Fame as a manager. He was also the NL MVP in 1971 and had 2342 hits during his career. To me, it is a no-brainer.