Interesting thread
There is too much variation between properties to make any kind of meaningful comparison here. Also "better" is a subjective term when it comes to hotels, as different people value different things.
In my opinion, in the international markets (i.e. outside of Nothing America), I would generally rank this way:
FS/MO/Pen(and top Ritz-Carlton) > Park Hyatt > Andaz/Grand Hyatt > Conrad/Intercontinental
But, there are many exceptions. In Hong Kong, for example, Intercontinental and Conrad would rank somewhat higher than Grand Hyatt.