Rabbinic Jews and Christians agree the sacrificial system of the Tanakh (for Christians, the Old Testament) is currently obsolete. However, they differ on what replaced it.
Did blood sacrifice atone for unintentional sins only? Are prayer and repentance sufficient for God’s forgiveness? Or does atonement require the death of another in my place?
Rabbi Tovia Singer, as ever, is an interesting conversation partner. His article challenging the Christian view of atonement is a useful framework for our discussion.