Ranking college basketball's history of 30-0 teams Posted Mar 4, 2015 7. 1956-57 North Carolina Tar Heels. Went 32-0 and won the NCAA title. Maybe the most overlooked dominant team in the history of the sport. The Tar Heels, coached by Frank McGuire, are led by Lennie Rosenbluth's 28.0 points per game and Pete Brennan's 10.4 boards average (Rosenbluth's 895 points that season is still a school record). UNC took down Wilt Chamberlain and Kansas in the title game, a triple-overtime 54-53 burner. (CBS Sports)