Fr. John Whiteford, an Orthodox priest, has a beautiful website in English with many Akathists, Canons and Services of Supplication (Moleben) in honour of our Lord, our Lady and the Saints.
The prayer rope can be used to substitute many of the services and if one simply recites “St (name of Saint) pray unto God for us/me a sinner” 600 times, this is equal to a service of supplication to the Saint.
As our Master Beadsman, Phillip, has said, the Ethiopians have their own devotional Mequteria (and he has made me one, creative genius and gentleman that he is).
There are various prayers that are said by the Ethiopians on it. The Magnificat is said seven times, the Hail Mary is recited 64 times in honour of the years that they believe our Lady lived on earth and the Lord have mercy or Our Father is said 41 times in honour of the 41 lashes they believe our Lord suffered (or two more than Roman law allowed, thus breaking the law to punish Him Who was Innocent).
The Alexandrian tradition (Coptic, Ethiopian, Eritrean, Nubian) has the “Agpeya” or the daily Office of seven Prayers that EVERY Christian, including, of course, the clergy and monastics, are to say daily (and if he or she doesn’t, they are to go to confession before receiving Communion . . .).
The Daily Office and Psalter today as in history have a greater role in the daily devotional life of Eastern lay Christians than those in the West (although there are many in the Catholic West who do pray the prayer of the Church).
Alex