Since we aren't focusing on just the current season, let's talk NFL Championships per franchise:
Green Bay Packers 13
Chicago Bears 9
New York Giants 8
Pittsburgh Steelers 6
Washington Redskins 5
Dallas Cowboys 5
San Francisco 49ers 5
Cleveland Browns 4
Detroit Lions 4
Baltimore/Indianapolis Colts 4
Boston/New England Patriots# 4
Oakland/Los Angeles/Oakland Raiders 3
Philadelphia Eagles 3
Cleveland/Los Angeles/St. Louis Rams 3
Chicago/St. Louis/Phoenix/Arizona Cardinals 2
Canton Bulldogs† 2
Dallas Texans/Kansas City Chiefs 2
Buffalo Bills 2
Houston/Tennessee Oilers/Tennessee Titans 2
Denver Broncos 2
Miami Dolphins 2
Baltimore Ravens 2
Akron Pros† 1
Cleveland Bulldogs† 1
Frankford Yellow Jackets† 1
Providence Steam Roller† 1
New York Jets 1
San Diego Chargers 1
New Orleans Saints 1
Tampa Bay Buccaneers 1
Seattle Seahawks 1
Minnesota Vikings 0
Atlanta Falcons 0
Cincinnati Bengals 0
Carolina Panthers 0
Jacksonville Jaguars 0
Houston Texans 0
Source
Looks like the pats are in some elite company with the Lions, Colts, and Browns. Oh my!
PS - They named the trophy given to the Super Bowl Champions after Lombardi. You know, the Packers coach.