I know about the Neo-Catechumenal Movement. We have one at my local parish; and some of my friends even belong to it, despite my discouragement. It is Gnostic. Experiential. An immediate goal is to set up little cults within each parish; a long-term goal is to break up all parishes into small cells of 5 to a dozen people of "small faith communities" and to exist without priests or with priests rarely visiting each community!
The "small faith community" was a Marxist tactic used to undermine Church authority and was first used in Latin America. It was also part of the failed heterodox "Renew 2000" movement.