Can somebody tell me which, if any, of the eastern churches (Catholic) use anything but English as their liturgical language? I get very confused trying to figure this out.
All of them. No, seriously.
In the Ruthenian Church, the official language is Church Slavonic, but the liturgy is often in Ukrainian (which is bloody close to Church Slavonic anyway); in the Ruthenian American Metropolia, Slavonic, English, and Spanish are allowed, and the books are primarily in English.
The UGCC has liturgies mostly in Ukrainian, but still has a liturgical language of Church Slavonic. In the US, they also have English and Spanish liturgies approved.
The Maronites use a mixture of Arabic and Aramaic formally. Chaldeans, too. Both have English liturgies as well in the US.
The Syro Malabar and Syro Malankara use their traditional indian language (I don’t know which it is), even in the US, for the most part.
Each of the Churches Sui Iuris has a liturgical language, but most
also have liturgies approved in the vernacular.
See, the term Liturgical Language is a loaded one - The Roman Rite has only one liturgical language: Latin… this despite having allowed translations into about 80 or 90 different languages. The Dalmatian Rite, by contrast, has church slavonic as its liturgical language - all the rubrics and text are written in it, as are the head of rite’s communications - but is otherwise identical to the Roman.