In the Basilian liturgy (the liturgy for "ordinary time" in the Coptic Orthodox Church), there are several acts of confession and contrition (more than the two I'm highlighting here, for brevity's sake; there is also the priest's confession before the Holy Eucharist, the confession that is part of the remembrance of the Holy Fathers of the councils, and so on). The people's is before the institution narrative, at the end of the prayer "Holy, Holy, Holy" (not to be confused with the Agios/Trisagion), which recalls the salvation history of the world:
PRIEST
Holy, Holy, Holy, truly O Lord, our God, Who formed us, created us and placed us in the paradise of joy. When we disobeyed Your commandment by the guile of the serpent, we fell from eternal life, and were exiled from the Paradise of joy. You have not abandoned us to the end, but have always visited us through Your holy prophets, and in the last days, You did manifest Yourself to us, who were sitting in darkness and the shadow of death, through Your Only-Begotten Son, our Lord God and Savior Jesus Christ, Who of The Holy Spirit and of the Holy Virgin Mary.
CONGREGATION
Amen.
PRIEST
He incarnated and became man and taught us the ways of salvation. He granted us the birth from on high through water and Spirit. He made us unto Himself a Congregation and sanctified us through Your Holy Spirit; He loved his own who are in the world, and gave Himself up for our salvation unto death which reigned over us, whereby we were bound and sold on account of our sins. He descended into Hades through the Cross.
CONGREGATION
Amen. We believe.
PRIEST
He rose from the dead on the third day; He ascended into the heavens, and sat at Your right hand, o Father; He has appointed a day for recompense, on which He will appear to judge the world in righteousness and give each one according to his deeds.
CONGREGATION [Here we beat our chests in repentance, as the tax collector did.]
According to your mercy, O Lord, and not according to our sins.
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This particular phrasing is mirrored elsewhere in the liturgy by the priest's recitation of the congregation's confession, which he prays inaudibly in the sanctuary, offering incense there that is symbolic of the congregation's prayers, that God may accept them. The prayer is as follows:
God, who accepted to Him the confession of the thief on the honored Cross, accept to you, the confession of your people, forgive them their sins for the sake of Your Holy Name that is called upon us, Let it be according to your mercy, O Lord, and not according to our sins.
