He played in the 1955 Sun Bowl against UTEP(Then Texas Western). UTEP beat FSU in that game 47-20 and Burt Reynolds ran for 35 yards on 7 carries for FSU.Check this out:
burt reynolds montage - Bing video
He played football at Florida State but was injured. He also got his jaw broken while filming City Heat.
He was really good in Deliverance.