Ranking College Basketball's National Champions since 1985 Posted Apr 5, 2017 8. 2005 North Carolina: Sean May was a monster for North Carolina in 2004-05, averaging a double-double to pace arguably the best Tar Heel roster since Michael Jordan and James Worthy shared the hardwood. UNC beat an outstanding Illinois team to win the first national championship of Roy Williams' career; 9. 2009 UNC; 14. 1993 UNC; 19. 2017 UNC. (Athlon Sports)