The Packers have done it twice. 1929-1931. And 1965-1967. Of course, those 1929-1931 championships were determined by record rather than playoffs. And the 1965 championship was the year before the first Super Bowl. So, while the Packers HAVE won the NFL championships three times in row, twice, they have only won 2 Super Bowls in a row — no one has ever “three-peated” Super Bowls.
Super Bowl is just a name. those teams would have won whatever the team or name.
It looks like Cleveland Browns won 4 AAFC championships (only 7 teams) plus an NFL.