Chris Weinke (2000)
Chris Weinke enrolled at Florida State in 1997, when he was already 25 years old (he spent the previous six years pursuing a Major League Baseball career). As the quarterback of one of the best Seminoles teams ever assembled, he won the Heisman Trophy in 2000, ahead of guys like Drew Brees and LaDainian Tomlinson.
By the time he was selected in the 4th round of the 2001 NFL Draft, Weinke was already a few months away from his 29th birthday. He played five seasons in the NFL, which included a two-year stint where he was out of the league (2003 and 2004).