The last 25 NCAA tournament champions, ranked Posted Mar 27, 2018 2. North Carolina (2005): Pick any three players from the other teams on this list. I’ll take Sean May, Rashad McCants and Raymond Felton from this UNC squad without thinking twice. (That’s not to mention one-and-done star Marvin Williams.). The 2005 season was the last great two-horse race in college basketball; 7. North Carolina (1993); 14. North Carolina (2009). (USA Today)