I was there in January of 1994. The players, the fans, everyone there, thought that if FSU beat Nebraska, we'd win the National Title. I was on a bus, heading back to Houston, while we listened to that FSU/Nebraska game on the radio. When FSU pulled it out at the end, we were all celebrating as if we had won the title.
2005 involved a loss to USC in mid October. We haven't been in the national title discussion, late into November, since 1993.