The Ivy League has never produced an NCAA tournament champion. However, if you just mean a game won by an Ivy League team, the most recent was in 2010 when Cornell beat Wisconsin, 87-69 in the second round.
The last time the NCAA Men's Basketball Tournament had a consolation game for 3rd place was in 1981. Virginia beat LSU, 78-74.
Princeton hasn't won a game in the NCAA tournament since 1998 when they beat UNLV in the first round, 69-57.
CBS does a good majority of the tournament. In fact, I believe that they show very game of the tournament.
Great West and Independent conferences