Other than having a prayer for the pope and using modern English, the Melkite Publican’s Prayer Book has the same morning and evening prayers as the Eastern Orthodox Jordanville Prayer Book that I linked to above.
Here are the Melkite intercessions (from Publican’s Prayer Book) that are used every morning:
**Prayers of Commemoration for the Living
**Remember, O Lord Jesus Christ our God, your mercies and bounties, which are from all eternity, through which you became Man and willed to suffer crucifixion and death for the salvation of those who rightly believe in you, and having risen from the dead, ascended into Heaven and are enthroned at the right hand of the Father and regard the humble entreaties of those who call upon you with all their heart: incline your ear, and hear the humble prayer of me, your worthless servant, as the fragrance of spiritual incense, which I offer to you for all people.
Remember first, Lord, your holy, catholic, and apostolic Church, which you have provided through your Precious Blood. Confirm, strengthen, extend and increase her, and keep her in peace, and forever proof against the powers of Hell. Calm the dissensions of the Churches, and foil the plans of the powers of darkness. Still the raging of the nations, and quickly ruin and uproot the risings of heresy, and frustrate them by the power of the Holy Spirit. (Metany)
Save, O Lord, and have mercy on our government and the Armed Forces and all in authority throughout the world. Protect their power with peace, and subdue under their feet every enemy and foe, and speak peace and blessing in their hearts for your holy Church, and for all your people; grant that in tranquility we may lead a quiet and peaceful life in true belief, in all piety and honesty. (Metany)
Save, O Lord, and have mercy on His Holiness N., the Pope of Rome; on His Beatitude, our Holy Patriarch, N.; on our God-loving Bishop, N., and on all orthodox patriarchs, metropolitans, archbishops and bishops, the priests and deacons and all who serve in the Church and whom you have ordained to feed your spiritual flock; and by their prayers have mercy on me, a sinner. (Metany)
Save, O Lord, and have mercy on our Father N., with all his brethren in Christ, and by their prayers have mercy on me, wretch that I am. (Metany)
Save, O Lord, and have mercy on my parents, N., my husband/wife, N., my children, N., my brothers and sisters, and all my relatives and my neighbors and friends, and all the members of my parish, and grant them your worldly and spiritual goods. (Metany)
Save, O Lord, and have mercy according to the multitude of your bounty, on the monks and nuns and all living in virginity, devotion, and fasting in every place of your dominion. Lighten their burden, console them in their afflictions, and grant them strength, power and perseverance in their struggle; and by their prayers grant me the remission of my sins. (Metany)
Save, O Lord, and have mercy on the old and the young; the poor and the destitute; the orphans and the widows; those in sickness and sorrow, misfortune and tribulation; those held captive or in exile; and on those of your servants who suffer persecution for your sake and for the orthodox Faith; and on all those who have asked for our prayers, unworthy though we are, especially N. Visit, strengthen, comfort and heal them, and, by your power, quickly grant them relief, freedom and deliverance. (Metany)
Save, O Lord, and have mercy on those whom I have offended or scandalized by my madness or carelessness, and whom I have turned from the way of salvation or led into evil and harmful deeds. By your divine providence restore them again to the way of salvation. (Metany)
Save, O Lord, and have mercy on those who hate and offend me and do me harm, and let them not perish because of me, a sinner. (Metany)
Illumine with the light of grace all apostates from the orthodox Faith, and those blinded by pernicious heresies, and draw them to yourself, and unite them to your holy, catholic, and apostolic Church. (Metany)
**For Those Who Have Fallen Asleep
**Remember, O Lord, those who have departed this life, orthodox patriarchs, metropolitans, archbishops and bishops, priests and deacons, monks and nuns, and the laity of the Church, and the blessed founders and benefactors of all churches and monasteries, and grant rest with the saints in your eternal dwellings. (Metany)
Remember, O Lord, the souls of your servants who have departed in sleep: my parents N., and all my relatives according to the flesh; forgive them every transgression, voluntary or involuntary; grant them the kingdom and a share in your eternal joys, and the delight of your blessed and everlasting life. (Metany)
Remember, O Lord, all the members of our parish who have departed in sleep with the hope of Resurrection and eternal life, and all orthodox Christians who lie here and in all the world, and with your saints give them repose where the light of your face shines and have mercy on us, for you are good and the Lover of mankind. (Metany)
Grant, O Lord, remission of sins to all our fathers and brethren who have departed before us in the faith and in the hope of Resurrection, and grant them memory eternal. (Metany)
Metany means bow.
