NFL Connections #45, Answers
The full solution: all four groups and the 16 names, sorted from the easiest group to the trickiest.
2000s New England Patriots
Tom Brady, Richard Seymour, Ty Law, Tedy Bruschi
2000s Indianapolis Colts
Peyton Manning, Marvin Harrison, Reggie Wayne, Dwight Freeney
2000s Pittsburgh Steelers
Ben Roethlisberger, Troy Polamalu, Hines Ward, Jerome Bettis
2000s Baltimore Ravens
Ray Lewis, Ed Reed, Jamal Lewis, Terrell Suggs