Many people are not aware that the Catholic Church DOES allow - with criteria - for non-Catholic Christians to participate in the Sacrament of Reconciliation.
For sacramental absolution, any Christian belonging to another church with valid sacraments is welcome anytime as long as it is of their own free will. This would include Eastern Orthodox, Oriental Orthodox, Assyrian Church, Old Catholic, etc.
Other Christians (Anglicans, Protestants, etc.) would need to “greatly desire to receive these sacraments, freely request them, and manifest the faith which the Catholic Church professes with regard to the sacrament.”
(UUS 46, with reference to CIC 844.3)
When I was in the Novitiate year of Religious formation and living in Illinois, every first Saturday of the month the Pastor of the local 'United Church of Christ' would come to our residence to go to confession with one of the priests. When asked, the Pastor told us: "You Catholics have it right about Confession and the need to go to a priest." He also told us that after he retired from his pastorship he planned to convert to Catholicism. I found out that a few years before his expected retirement he passed away.