- Heisman Trophy (2017)
- 2x Heisman Trophy Finalist (2016, 2017)
- Maxwell Award (2017)
- Walter Camp Award (2017)
- Davey O’Brien Award (2017)
- Associated Press Player of the Year (2017)
- 2× Sporting News Player of the Year (2015, 2017)
- 2× Burlsworth Trophy (2015, 2016)
- 2× Big 12 Offensive Player of the Year (2015, 2017)
- Big 12 Offensive Freshman of the Year (2013)
- 2× First-team All-American (2015, 2017)
- 3× First-team All-Big 12 (2015–2017)
- NFL Rookie QB QBR Leader (2018)
- NFL Rookie QB Pass Completions Leader (2018)
- NFL Rookie QB Pass Attempts Leader (2018)
- NFL Rookie QB Pass Completion Percentage Leader (2018)
- NFL Rookie QB Pass Attempts per Game Leader (2018)
- NFL Rookie QB Pass Yards Leader (2018)
- NFL Rookie QB Pass Yards per Pass Attempt Leader (2018)
- NFL Rookie QB Pass Yards per Game Leader (2018)
- NFL Rookie QB Pass Touchdowns Leader (2018)
- 7× Pepsi NFL Rookie of the Week (2018 Weeks 3, 7, 9, 12, 14, 16, 17)
- AFC Offensive Player of the Week (2018 Week 16)
- PFT Rookie of the Year (2018)
- PFWA Rookie of the Year (2018)
- PFF Offensive Rookie of the Year (2018)
- PFWA All-Rookie Team (2018)
NCAA records/accomplishments
- First walk-on transfer student to win Heisman Trophy
- NCAA passer rating leader (2017) [203.8]
- 2x NCAA passing efficiency rating leader (2016, 2017) [196.4, 198.9]
- 2x NCAA yards per attempt leader (2016, 2017) [11.1, 11.5]
- 2x NCAA adjusted passing yards per attempt leader (2016, 2017) [12.3, 12.9]
- 2x NCAA pass completion percentage leader (2016, 2017) [70.9, 70.5]
- NCAA total yards per play leader (2017) [9.9]
- NCAA TDs responsible for leader (2017) [49]
Oklahoma Sooners football records
- Most career total touchdowns — 137 (119 passing, 18 rushing)
- Highest career passing completion percentage — 69.8 (tied)
- Most passing yards in a game — 598
- Most passing touchdowns in a game — 7
NFL records
- Most passing touchdowns by a rookie quarterback — 27.
Career
- Most uninterrupted consecutive games with at least 2 passing touchdowns — 5
Season
- Most Passing Yards per Game – 266.1
Rookie season
- Most Passing Touchdowns — 27
- Highest QBR — 55.7
- Highest Passer Rating — 93.7
- Highest Completed Pass Percentage — 63.8
- Highest Net Yards per Pass Attempt — 6.95
- Highest Adjusted Net Yards per Pass Attempt — 6.77
- Lowest Percentage of Sacks per Pass Attempt — 4.9
- Most Passing Completions — 310
- Most Passing Yards — 3,725
- Most Passing Yards per Game – 266.1
- Most 4th quarter Comebacks — 3
- Most Game Winning Drives — 4
- Most Passing Yards in a Game — 397
- Most Touchdown Passes in a game — 4
- Most Passing Completions in a game — 29 (Done twice, tied with Tim Couch)
- High Passing Completion Percentage in a game — 85.0 (17/20, Week 10)
