In general, in addition to private confession, public expressions of confession include confession as an element in the second movement of the Liturgy as well as a rite that may be performed in relation to a Soul Friend. Specifically, confession may also be performed as a Rite of Purification in the Catechumenate and Novitiate.
Also see Anointing, Exorcism, Forgiveness, Restitution, Rite of Incorporation, and Rite of Purification.