In college basketball (in the US), the
team that wins the NIT (National Invitation Tournement) can
legitmately call themselves the 65-th best team in the nation.
My alma mater, UCLA, won in 1985. Yay!
A list of the 65-th best teams in men's college basketball is:
(Before 1985, the NCAA tournement had less than a 64-team field,
so the previous NIT winners were better than the 65-th best
team in the nation.)
For future reference, the other past NIT champions are: