Saying "championship or bust" in college basketball has been nonsense since the UCLA dynasty ended and the tournament has expanded. In the 30 years that we've been relevant nationally, how often is it that the best team in the country wins the tournament? One and done isn't the NBA. Any time you don't view reaching the Final Four as where it turns into gravy, you'd put more pressure on yourself.
But if what you are asking is what years did we go into the season not just thinking that if things broke right we could get into the Final Four but we were going to be as good as anyone in the country, the answer is '99. That was the year we returned everyone from a young team that won the Big East and lost in the Eastern Regional to UNC in Carolina. In '04, we thought we could be really good but no one knew how good Josh Boone would be as a true freshman, nor that Ben Gordon would play himself up into the position of a #3 draft choice. In '09, while that was a very good team, at no point during the season were we screaming that we were better than everyone else. Oh, they had their moments, like at Louisville, but the fact that Pitt manhandled them repeatedly made it less than a clear favorite. In '06, that was a good team, a really, really good team, but it did not run through the season the way '04 did, and the team, with tons of talent, was flawed in that it only had one ball handler In the rotation which everyone knew was going to be a bigger issue in the post-season than the regular season.
So you can't ever enter into a college basketball season saying title or bust, but the one year I expected to be the best team in the country from day one and never really let go of that was the '99 team.