He had over 90 career quarterback sacks, and made an important play for the New York Jets in their Super Bowl III victory.

[6] In that same draft, the Jets selected future Pro Football Hall of Fame quarterback Joe Namath with their first pick (second overall), and 1964 Heisman Trophy winner John Huarte in the second round.

[6][7][8] As a rookie in 1965, Biggs started 12 of 14 games for the Jets, with eight quarterback sacks, and one interception that he returned 44 yards.

[14] The 1968 Jets went 11–3 in the regular season, then defeated the Oakland Raiders for the AFL championship (27–23), and would win Super Bowl III over the Baltimore Colts (16–7).

Late in the AFL championship game, he sacked Oakland quarterback Daryle Lamonica on a fourth down and 10-yards to go play, to help seal a victory.

In the Super Bowl, on the first play from scrimmage in the second half, Biggs forced a fumble that set up a field goal.

[5] Still, he was described as a "bulwark" of the Jets 1970 defensive line that allowed the fewest rushing yards in the American Football Conference.

[4] His joining Washington coincided with future hall of fame coach George Allen coming to the team in 1971.

[27][28] When Allen came to Washington, the defense already included All Pro Pat Fischer,[29] future hall of famer Chris Hanburger,[30] Brig Owens and Mike Bass.

[31] In addition to bringing Biggs to Washington in 1971, Allen traded for veteran defensive players Jack Pardee, Maxie Baughan, Myron Pottios, Diron Talbert, and offensive lineman John Wilbur.

[5] In 1972, Washington went 11–3, and defeated the Dallas Cowboys for the 1972 National Conference championship, on their way to Super Bowl VII (a 14–7 loss to the undefeated Miami Dolphins).