There is also an Anglican rosary. This is separate from certain Anglo-Catholic groups and/or Anglicans who actually do pray the rosary as the Catholics do.
Prayer beads have a long and noble history in the story of faith, dating back some five thousand years. The Eastern church counted pebbles, and then moved to knotted ropes called "chotki". In the Western Church praying on knotted strings and/or beads began in the ninth century in Ireland, in the community of St. Colomba.
In fact the word "bead" comes from the Anglo-Saxon "bede", meaning prayer.
Though the rosary in the Christian tradition is typically considered a Roman Catholic affectation, it actually was part of the Church of England and did persist into the Protestant era. Martin Luther did not, during the Reformation, abandon the use of the rosary, but he did shorten the Ave Maria to "Hail Mary, full of grace. The Lord is with thee. Blessed art thou and the fruit of thy womb, Jesus". In so doing, he removed the plea for Mary to pray for the person praying the rosary, aligning it with newer theologies. The practice of praying the rosary fell into disuse with the likes of Calvin and later reformers, worried about the Biblical injunction against vain repetition of prayer.
Matthew 6:7 - "And when you pray, do not keep on babbling like pagans, for they think they will be heard because of their many words."
In the 1980s, an Episcopal priest by the name of the Reverend Lynn Bauman gathered together a group of parishioners and started to explore the prayer bead custom. The design that followed from that initiative is a simplified grouping of thirty three beads, with a cross.
Rather than decades and such, the design is simpler. At the bottom of the rosary, where you start, is a cross (albeit without a corpus). From there you go to an invitiatory bead, and then follow along upwards to a circle - with four groupings of seven small beads, called "weeks", separated by four "cruciform" beads (they're at cardinal points on the circle, making a cross).
The general idea is to start with the cross, and acknowledge God's presence.
The invitiatory bead is used in the recitation of a call to prayer.
The cruciform beads typically involve a scripture reading.
On the "weeks" beads, one typically prays a verse from the Psalms.
An example prayer, taken from "Praying with Beads: Daily Prayers for the Christian Year", is as follows.
(Cross) - "In the name of God, Father, Son and Holy Spirit".
(Invitiatory) - "Merciful God, be ever with us, listening to us and strengthening us".
(Cruciform) - "So if you have been raised with Christ, seek the things that are above, where Christ is".
(Week) - "I shall not die, but live, and declare the works of the Lord".
(Invititatory (again)): The Lord's Prayer
(Cross (again)): "Thanks be to God, Amen."
Two things prevent this from being something one does in a rote fashion: one is the fact that the prayer is a bit more complex than the relatively easy to remember Ave Maria, also that the aforementioned book and other sources suggest a different sequence of prayers for each week in the church year. It means, in effect, that the prayer be somehow in an open book or otherwise copied and the beads used in a sensory fashion to mark each prayer deliberately, as opposed to simply rattling off the same prayer over and over again.
I have three pamphlets and a book on the use of an Anglican rosary, and have taken not only to using them but also making them. Threading beads can be in and of itself a reflective and prayerful task, and giving these to other parishioners is a way to share something nice as well as getting them to broaden their horizons in terms of their own worship.