They beat Oregon in 09' and beat TCU in their Bowl game.
http://en.m.wikipedia.org/wiki/2009_Boise_State_Broncos_football_team
http://nationalchamps.net/NCAA/college_football_2006_schedules/boisestate.htm
Most people remember The Statue of Liberty play verses Oklahoma during their bowl game.
I would say those teams were pretty close to a National title, they just needed a little bit of a tougher schedule to make it...
Edited by mattieo86 at 11:01:33 on 01/27/17