Andrew Luck threw for 205 yards to break the single-season rookie record as the Indianapolis Colts beat the Kansas City Chiefs 20-13 to seal a place in the play-offs on Sunday.
Luck surpassed Cam Newton's year-old record of 4,051 yards in the second quarter and then threw a touchdown pass late in the fourth to Reggie Wayne for the decisive score.
The Colts (10-5) join the 2008 Miami Dolphins as the only NFL teams to win at least 10 games after losing 14 or more the previous season.
Aaron Rodgers threw for three touchdowns and ran for another as the Green Bay Packers thrashed the Tennessee Titans 55-7.
The victory ensured the Packers (11-4) will at least be the NFC's number three seed. It was the first time the Packers have scored more than 50 points since 2005.
Adrian Peterson rushed for 86 yards as the Minnesota Vikings kept their play-off hopes alive with a surprise 23-6 win over the Houston Texans, who failed to score a TD for the first time since 2006.
The loss kept the Texans (12-3) from clinching home-field advantage throughout the AFC play-offs. They could still secure a first-round bye if Denver lose later on Sunday.
Minnesota's win also ended the play-off hopes of the New Orleans Saints, despite their overtime win over Dallas.
Garrett Hartley kicked a 20-yard field goal in overtime as the Saints (7-8) won 34-31, while the Cowboys (8-7) had a three-game winning streak snapped and lost control of their play-off fate.
Tom Brady overcame a rough start by throwing two touchdown passes as the play-off-bound New England Patriots held on to beat the woeful Jacksonville Jaguars 23-16.
Brady threw two interceptions in the first quarter to help the Jaguars (2-13) lead 10-0, but the home side faded in the third quarter for the fourth consecutive week and set a franchise record for losses in a season.
Robert Griffin III threw two touchdown passes in his first game back from a knee injury as the Washington Redskins held on to beat the Philadelphia Eagles 27-20 for their sixth straight win.
The Redskins (9-6) can clinch the NFC East with a victory over Dallas at home next Sunday. They have not won it since 1999 and last reached the play-offs in 2007.
Josh Brown kicked a 43-yard field goal with four seconds left to lift the Cincinnati Bengals to a 13-10 win over the Pittsburgh Steelers, sending the Bengals into the play-offs for a second straight season and ending the Steelers' hopes.
Reggie Bush caught two touchdown passes and scored on a short run to help the Miami Dolphins beat the Buffalo Bills 24-10.
But just minutes after they won, the Dolphins (7-8) were eliminated from play-off contention when Cincinnati beat Pittsburgh.
Sam Bradford threw two touchdown passes as the St Louis Rams beat the Tampa Bay Buccaneers 28-13, while Cam Newton threw for 171 yards and a touchdown and ran for 60 yards and another score as the Carolina Panthers defeated the Oakland Raiders 17-6.
San Diego sacked Greg McElroy 11 times, ruining the New York Jets quarterback's first NFL start, and Philip Rivers threw two touchdown passes in the Chargers' 27-17 victory.
The Seattle Seahawks booked their place in the NFC play-offs with a 42-13 win over the San Francisco 49ers.
Quarterback Russell Wilson threw for four touchdowns, to Marshawn Lynch, Anthony McCoy and two to Doug Baldwin, giving him 25 for the season - putting him second on the all-time list for rookies behind Peyton Manning's 26.
The 49ers could have clinched their second straight NFC West title with a win but instead slipped to a dispiriting defeat on coach Jim Harbaugh's 49th birthday.
The Baltimore Ravens sealed the AFC North crown with a 33-14 win over the New York Giants.
The Ravens broke out early, scoring on each of their first two possessions, while Joe Flacco threw for 309 yards.
The Chicago Bears won for the first time in four to keep their play-off hopes alive with a 28-13 victory over the Arizona Cardinals.
Brandon Marshall was far from his best, but set a Bears franchise receiving record with 1,427 yards on the season.
The Denver Broncos stretched their winning run to 10, beating the Cleveland Browns 34-12 on the back of Peyton Manning's three touchdown passes.
The win pulled them level at the top of the AFC with Houston.