Today's Gothamist has pictures of the animals at St John the Divine. I went with Hazel a few years back. It is an interfaith animal extravaganza. It goes on for hours. Lots of fun. Hazel sat politely in a pew with me. She was very interested in the smell of things like sheep and camels, which she had never smelled before. Some dogs were not as serene-- but I did not see any fights.
Afterward, on the grounds outside they have adoption events.