Marinaro was runner-up to Pat Sullivan for the Heisman Trophy in 1971, the highest finish for an Ivy League player since the league de-emphasized football in the mid-1950s. Princeton's Dick Kazmaier won the award in 1951 when the Ivy was still considered a major football conference. Marinaro won the 1971 Maxwell Award and the UPI College Football Player of the Year as the top player in college football. He holds four NCAA records: most rushes per game in a season (39.6 in 1971), career average carries per game (34.0, 1969–71), most rushing yards per game over an entire career (174.6, 1969–71), and earliest game reaching 1,000 rushing yards (5th, 1971).