16. Troy Davis
Davis is one of the best running backs in college football history. He played for the Iowa State Cyclones during his collegiate period and put up huge numbers his last two years there. During his junior season, Davis rushed for 2,010 yards and 15 TDs, with an additional receiving TD on top of it. His senior season, however, Davis rushed for 2,185 yards and 21 TDs.

Davis won All-American honors both years, and in his final year of 1996, he won the Jim Brown & Chic Harley Awards. During the 1996 Heisman race, he sadly finished second, his highest. Yet this only goes to show that Davis truly is one of the best players who never won the Heisman Trophy.