Catholic is any of the 22 Sui Juris Catholic Churches. The Eastern Catholic Churches are self-governing (i.e SUI JURIS) churches in full communion with the Holy SEE.
Here is the place to go to find about the Eastern Catholic Churches in the US:
byzcath.org/
The Holy See’s Annuario Pontificio gives the following list of Eastern Catholic Churches with the principal see of each Thge Eternal Word Television Network (EWTN) gives the same list, except that it does not place the liturgical traditions in the alphabetical order.
Code:
Alexandrian liturgical tradition:
Coptic Catholic Church (patriarchate):
Eritrean Catholic Church (metropolia):
Ethiopian Catholic Church (metropolia)
West Syrian, including Malankara, liturgical tradition
Maronite Church (patriarchate):
Syriac Catholic Church (patriarchate):
Syro-Malankara Catholic Church (major archepiscopate):
Armenian liturgical tradition:
Armenian Catholic Church[52] (patriarchate):
Chaldean or East Syrian liturgical tradition:
Chaldean Catholic Church[53] (patriarchate)
Syro-Malabar Catholic Church[54] (Major Archepiscopate):
Constantinopolitan (Byzantine) liturgical tradition:
Albanian Catholic Church (apostolic administration):
Belarusian Catholic Church (no established hierarchy at present):
Bulgarian Greek Catholic Church[55] (apostolic exarchate):
Byzantine Church of Croatia,(an eparchy and an apostolic exarchate):
Greek Byzantine Catholic Church[57] (two apostolic exarchates):
Hungarian Greek Catholic Church[58] (an eparchy and an apostolic exarchate):
Italo-Albanian Catholic Church (two eparchies and a territorial abbacy):
Macedonian Catholic Church (an apostolic exarchate):
Melkite Greek Catholic Church[59] (patriarchate)
Romanian Church United with Rome[60] (major archiepiscopate):
Russian Catholic Church[61] (two apostolic exarchates,):
Ruthenian Catholic Church[62] (a sui juris metropolia]
Slovak Catholic Church[65] (metropolia and an eparchy):
Ukrainian Catholic Church[66] (major archiepiscopate):