This is interesting. However I would note that in both cases, in the Eastern Orthodox Church, and in the Anglican Church, the Creed occurs after the Synaxis, the Liturgy of the Catechumens known as the Ministry of the Word in the West, has concluded. Also I was unaware that it was Charlemagne who introduced the Creed into the Western Rite; I knew he was responsible for promoting the filioque, but I was unaware he promoted the use of the Creed in the liturgy, might I ask where you read that? Since clearly I need to revise on my liturgical history just a bit.
I would also note the offertory in the Eastern churches is the Great Entrance and is purely Eucharistic in character, being a procession of the unconsecrated bread and wine from the Table of Preparation out through the deacons’ door on the North end of the Iconostasis, and then to the altar through the Holy Doors, either straight in, in Russo-Ukrainian praxis, or around the congregation in the Nave, in Greek and Antiochian praxis. Increasingly I see offertories like this in Episcopal churches that I have visited, albeit with laity carrying the bread and wine to the altar.