Michael Vick kept the Eagles in check early on, finding DeSean Jackson with a 47-yard touchdown pass, but efforts from Stevan Ridley, Shane Vereen and two from LeGarrette Blount kept the Patriots in front.
Matt Barkley played the most snaps at quarterback for the Eagles, completing 11 of his 22 attempts for 103 yards, while Tim Tebow featured for the Patriots in the second half, making 55 passing yards and rushing for 31.
Rookie safety Tyrann Mathieu recorded his first NFL sack during the game, and returned two punts for the Cardinals.
Stepfan Taylor led the rushing effort for the NFC West team, carrying the ball for 64 yards from 21 attempts.
Packers starting quarterback Aaron Rodgers played just one series, but was able to connect with wide receiver James Jones with a 50-yard pass, before the team focused on giving game time to backups Graham Harrell and Vince Young.
Norman picked off Jay Cutler's opening play for the Bears, before a second interception was returned 60 yards for a touchdown.
First-round draft pick DeAndre Hopkins scored his first NFL touchdown, catching a 34-yard pass from TJ Yates in the second quarter.
Jets quarterback Mark Sanchez threw an interception at the start of the game, which Lions rookie Ziggy Ansah returned for a touchdown, but he recovered to complete 125 passing yards, finding Jeff Cumberland in the end zone during the first quarter.
Geno Smith completed six of his seven attempts, but was forced to leave the game early with an ankle injury.
Chad Henne edged the battle of the Jaguars quarterbacks, recording 87 passing yards from eight of 11 attempts, compared to Blaine Gabbert, who completed half of his passes for 19 yards and threw an interception.
Alex Smith completed seven of his eight attempts for 68 yards during his first game for the Chiefs.
Results in full: New York Jets 17-26 Detroit Lions, Miami Dolphins 27-3 Jacksonville Jaguars, New England Patriots 31-22 Philadelphia Ealges, Chicago Bears 17-24 Carolina Panthers, Arizona Cardinals 17-0 Green Bay Packers, Houston Texans 27-13 Minnesota Vikings, Kansas City Chiefs 13-17 New Orleans Saints, Dallas Cowboys 17-19 Oakland Raiders