I don’t know of a good updated link so I cobbled this together just for you!
If you need info please call the numbers provided. I will advise you that most of the Ukrainian parishes I know of have an English liturgy as well as a Ukrainian liturgy, but they seem to have become committed to a recited, rather than chanted liturgy in English (like a low mass) and it’s nothing to write home about.
The Byzantine-Ruthenian parish and the Melkite parish have pretty decent liturgies: the Melkite is mixed English-Arabic with a hauntingly beautiful chant (also a Spanish liturgy) and the Ruthenian does an all English liturgy, chanted in the Carpathian style. Both of these, and the Romanian parishes are known to be very welcoming.
The Chaldean parishes and the Syro-Malabar Cathedral use the liturgy of St James. I cannot offer any comments on them as I am not much more familiar with any of them than any other person off the street.
The Maronite parish uses a form of the liturgy of St James, I found the place full of Latin traditionalists and some Arabs but I didn’t feel all that welcome. Sadly I missed a chance to meet the priest there.
This list can not be considered 100% inclusive, I left a few things out that I thought were probably innacurate and at least one mission that I have little knowledge of.
Aurora
St. George Church (Byzantine - Romanian/Canton)
20 Rural Street, Aurora, IL 60505, Phone: (630) 851-4002
St. Michael Church (Byzantine - Romanian/Canton)
609 N. Lincoln Avenue, Aurora, IL 60505, Phone: (630) 897-8115
Bellwood
Mar Thoma Shleeha Catholic Cathedral (Syro-Malabar -Bellwood)
5000 St.Charles Road, Bellwood, IL 60104, USA, Phone: (708) 544-7250, Fax (708) 544-5890
NOTE: This is their Cathedral for the entire USA
Chicago
Mart Maryam Church (Chaldean/Southfield)
2849 West Chase Ave., Chicago, IL 60645, Phone: (312) 761-9401
St. Ephrem (Chaldean/Southfield)
2537 West Bryn Mawr Avenue, Chicago, IL 60659, Phone: (312) 271-8899
St.Ferdinand Rectory(Syro-Malabar - Bellwood)
5900 W.Barry Ave, Chicago, IL 60634
St. Gregory The Great Church (Syro-Malankara - Jurisdiction of Local Roman Ordinary)
1634 West Gregory Street, Chicago, IL 60640, Phone: (773) 907-2092
St. Joseph (Byzantine - Ukrainian/St. Nicholas-Chicago)
5000 Cumberland Ave., Chicago, IL 60656, Phone: (312) 625-4805
St. Michael (Byzantine - Ukrainian/St. Nicholas-Chicago)
12211 S Parnell Ave., Chicago IL 60628, Phone: (312) 785-7113
St. Nicholas Cathedral (Byzantine - Ukrainian/St. Nicholas-Chicago)
2238 W. Rice St.,Chicago, IL 60622, Phone: (312) 276-4537
St. Thomas of Canterbury Parish (Monthly Divine Liturgy - G’eez)
4827 North Kenmore Avenue, Chicago, IL 60640, Phone: (773) 878-5507
Ss. Volodymyr and Olha (Byzantine - Ukrainian/St. Nicholas-Chicago)
2245 W. Superior St., Chicago, IL 60612, Phone: (312) 829-5209
Hillside
Our Lady of Lebanon Maronite Church(Maronite - Los Angeles)
425 North Hillside Ave, Hillside, IL 60162, Phone: (708) 449-5558
Northlake
St. John the Baptist (Byzantine - Melkite/Newton)
200 East North Avenue, Northlake, IL 60164, Phone: ((708) 865-7050
Orland Park
Annunciation of the Theotokos (Byzantine-Ruthenian/Parma)
14610 Will-Cook Road, Homer Glen, Il 60491 ((708) 645-0241)
Palatine
Immaculate Conception (Byzantine - Ukrainian/St. Nicholas of Chicago)
745 S. Benton St., Palatine, IL 60067, Phone: (847) 991-0820 Rectory; (847) 934-3100 (Church hall and Liturgy schedule)
Palos Park
Nativity of the Blessed Virgin Mary (Byzantine - Ukrainian/St. Nicholas-Chicago)
8530 W. 13 Ist St., PalosPark, L 60464, Phone: (708) 361-8876
Good luck!
Michael
+T+