26. Drew Brees
If you thought Brees randomly threw for a lot of yards and touchdowns when he arrived in New Orleans, you likely never saw him in college. At Purdue University, Brees had three amazing years. In his sophomore campaign, he threw for 3.983 yards and 39 TDs. In his junior year, he threw for 3,909 yards and 25 TDs. Finally, in his senior season, he threw for 3,668 yards and 26 TDs.
His final year also included 521 yards rushing and five TDs, and all of this led to several awards. In 1998, Brees was the Big Ten Offensive Player of the Year. However, in 2000, his final year, he won the Big Ten Offensive Player of the Year Award and even the Maxwell Award. Sadly, he never finished higher than third in the Heisman race. Brees is still one of the best players who never won the Heisman trophy.