NFL Connections #43, Answers
The full solution: all four groups and the 16 names, sorted from the easiest group to the trickiest.
1980s San Francisco 49ers
Joe Montana, Jerry Rice, Ronnie Lott, Roger Craig
1980s Chicago Bears
Walter Payton, Jim McMahon, Mike Singletary, Richard Dent
1980s New York Giants
Lawrence Taylor, Phil Simms, Harry Carson, Joe Morris
1980s Washington
Joe Theismann, John Riggins, Art Monk, Darrell Green