Graham was the 2009 Big Ten Conference co-MVP as recognized by the Chicago Tribune Silver Football award.

As a member of the 2008 Michigan Wolverines football team he earned Second-team 2008 Big Ten All-conference recognition from both the coaches and the media.

He led the Super Bowl LII champion Philadelphia Eagles in quarterback sacks with 9.5 during the 2017 NFL season.

[4] As a youth, Graham played football for the Police Athletic League Detroit Giants for seven years until joining the eighth grade team.

[5] Born and raised in Detroit, Graham attended Crockett Vocational Tech, a school that began participating in Michigan High School Athletic Association (MHSAA) football competitions in 1996 and that did not have a proper locker room for its football team before moving in his senior season.

[20] Entering his senior season, he was the overwhelming selection as the best high school football player in the state of Michigan according to The Detroit News.

[21] During the season, after missing four weeks to a knee injury, Graham was chosen as one of 78 players to participate in the January 7, 2006 U.S. Army All-American Bowl at the Alamodome.

[22][23] He was elected captain of the East team at the U.S. Army All-American Bowl and recorded four tackles as well as a blocked field goal in the game that also featured two of his Michigan teammates: (Justin Boren and Stevie Brown).

[26] Graham led his team to a rematch against Lumen Christi, which they lost 35–21 in the MHSAA Division 5 district championship game.

[27] In Graham's three years at Crockett, they went undefeated in the regular season and as a senior he was again selected to the All-Detroit first-team as a linebacker.

[30] He was also selected as the All-class statewide best linebacker as part of the inaugural class of The Michigan Prep Football Great 8 awarded by the Mid-Michigan Touchdown Club for being best at his position in the state.

[38] Graham made his first tackle for Michigan on October 28 against Northwestern and recorded his first sack and forced fumble on November 11 against Indiana.

[1] As the 2007 Michigan Wolverines football team prepared for the 2007 NCAA Division I FBS football season, Graham got some unusual news off the field when he found out that he had been given a perfect 99 rating in the NCAA 2008 EA Sports even though his star teammates Chad Henne, Jake Long and Mike Hart had not.

[39] Also, off the field, Graham was issued a ticket playing loud music in a vehicle on July 24 and missed the September 18 court date after pleading not guilty.

This caused a judge to issue an arrest warrant for failing to appear in court on a disorderly conduct charge.

[34][42] Although projected to as the starter, Graham played sparingly in the opening game loss to two-time defending FCS champions Appalachian State Mountaineers on September 1.

[53] On September 27 Graham had 3 sacks and 2 forced fumbles against the Wisconsin Badgers,[54] and he was named Big Ten Conference Defensive Player of the Week.

[55] Prior to the October 25 Paul Bunyan Trophy game against Michigan State, Graham guaranteed a victory.

[63] He concluded the season as the Chicago Tribune Silver Football recipient as the Big Ten co-MVP (with Daryll Clark).

[65] Brandon Graham earned MVP honors at the January 30, 2010 Senior Bowl with five tackles, two sacks, one forced fumble.

Head coach Andy Reid named Graham and Trent Cole the starting defensive ends to begin the regular season.

[90] He made his professional regular season debut and first career start in the Eagles' season-opener against the Green Bay Packers, but did not record a statistic during their 27–20 loss.

[91] On November 28, 2010, Graham collected a season-high three solo tackles and made one sack during a 31–26 loss at the Chicago Bears in Week 12.

On December 12, 2010, Graham suffered a torn anterior cruciate ligament (ACL) during 30–27 victory at the Dallas Cowboys in Week 14.

[110] In his 2017 season debut, he recorded four tackles, two sacks, and a pass deflection in the Eagles' 30–10 win over the Washington Redskins.

[115] With 2:21 remaining in the fourth quarter of Super Bowl LII, he strip sacked Tom Brady, forcing a fumble recovered by teammate Derek Barnett.

[116][117] On May 16, 2018, it was revealed that Graham underwent ankle surgery earlier in the month, meaning that he missed some offseason practices.

[122] In week 8 against the Buffalo Bills, Graham recorded a strip sack on Josh Allen and recovered the ball in the 31–13 win.

[136] On November 26, 2023, Graham passed David Akers' franchise record of 188 regular-season games played for the Eagles.

[139] In Super Bowl LIX, Graham recorded one tackle in 13 snaps on defense as the Eagles won 40–22 over the Chiefs.