Here's the big picture:
Meanwhile, here's a pretty good article:
The Other Catholics: A Short Guide to the Eastern Catholic Churches
These are not to be confused with the Eastern Orthodox, who are closely and dearly related to us but do not accept the jurisdiction of the Pope (the Bishop of Rome.)
Interestingly, Pope Francis just canonized and named as Doctor of the Church St, Gregry of Narek, who was evidently not "jurisdictionally" Catholic although his beliefs were Catholic, who was "jurisdictionally" a member of the very ancient Armenian Apostolic Church.
