According to the FIDE Laws of Chess:
Appendix A. Rapid Chess
A.1 A ‘Rapid chess’ game is one where either all the moves must be completed in a fixed time of more than 10 minutes but less than 60 minutes for each player; or the time allotted plus 60 times any increment is of more than 10 minutes but less than 60 minutes for each player.
So, every "tournament whose time controls convert to exactly 60 minutes" is regarded as classical by FIDE. It is just that FIDE will only rate such tournaments for lower rated players. Slower time controls are required for stronger players. For stronger players there is a range of time controls which FIDE will not rate because they are too slow to be rapid and too quick for stronger players.