The Catholic parish of choice for the LACW is Dolores Mission Church, a Jesuit parish in Boyle Heights, near downtown. We highlighted it in an article in a back issue of the Catholic Agitator entitled: The Parish Of Your Dreams.
It is a very progressive, community-minded and peace and justice activist-centered parish, and to our knowledge, unlike any other Catholic parish in the Archdiocese–including housing 38 homeless men, which it has been doing for decades, and risking arrest at various protests. Two of the current Pastoral Team, Fr. Brendan Busse and Ellie Hidalgo, are two of our regular rotating celebrants at our Wednesday evening home liturgy.
The National Catholic Reporter did an excellent article on the parish, including a short video, that can be viewed at this LINK.