According to this article, there are local churches in Israel that still practice animal sacrifice. It says:
Although slaughter for sacrifice contradicts a basic belief of Christianity, it is practiced by local Catholics, Greek Orthodox and other Christians at the ruined Byzantine church of Saint George in the village of Taybeh, 20 miles from Jerusalem. "Around 70 to 80 lambs are sacrificed here each year," said the Roman Catholic priest, Father Raed. Similar sacrifices are also made in the towns of Lodd, Jaffa, al-Khadar and elsewhere in the Holy Land.
Unlike traditional sacrifices, the meat is then distributed to the poor rather than to the priests, but the purpose is very similiar.
From the article:
"The sheep are always facing east when a sharp knife goes through their necks," Khoury explained. "Sometimes sacrifices are offered as gratitude for the birth of a healthy child, help with a relation surviving a deadly illness or a major operation, or thanks for survival from a car accident."
During the killing, prayers are offered in the name of the father, son, and holy ghost and accompanied by entreaties to al-Khader (Saint George) to act as an intermediary.
Qleibo, although a Muslim himself, insists that Christian blood-sacrifice cannot be explained away as a Muslim influence: "Blood sacrifice was an important part of the ancient Canaanite religion and numerous pagan cults. Semitic blood sacrifices have persisted."
All this said, it seems to be a peculiar practice of a place, not so much as a denomination. Syncretism is apparently not the sole province of the Samaritans...