You wrote:
“Now I’m curious as to just how many “rites” there are within what is called “Catholic.” How many(?) and can they be named?”
There are 22 as far as I can remember, but I may be off by one or two. And yes, they can all be named. They are all listed - every years - in the Catholic almanac for instance and you can find the list on line.
“I ask because Protestants are criticized by many Catholics in that there are these divisions: Presbyterian, Methodist, Congregational, etc.”
Because you have divisions.
“Because you have divisions.”
Catholicism has Buddhists, spiritists, and cultists.
“Because you have divisions.”
Catholicism has Buddhists, spiritists, and cultists.