UNC's History As A Top 5 Football Team Posted Oct 17, 2020 North Carolina has played 266 games since it last took the field ranked in the top five of the Associated Press college football poll, though that will change Saturday when the No. 5 Tar Heels visit Florida State. The last time UNC played a game ranked in the top five was in 1997 against the Seminoles as Mack Brown’s Tar Heels lost 20-3 at Kenan Stadium. (Tar Heel Illustrated)