That is because Catholics, Anglicans and Protestants for that matter, all originates from the Latin Rite. In fact to the classical Orthodox mind, all Catholics, Anglicans and Protestants are lumped together as the Western Church. As opposed to the Eastern Church, which covers the Orthodox churches. Liturgies in both halves were different from the onset, although there were cross-sharing of ideas. Most of the parts of the Western mass like the Lamb of God originates in the East. Generally, Eastern liturgies have remained the same after the initial flurry of innovations compared to the West but did adapt to the vernacular much earlier than the West.
Catholic, Anglican and Lutheran liturgies diverged from the time of the Reformations. All three derived their liturgy from the Latin Rite prevailing in Rome, which is why some Orthodox identify Anglicans and Lutherans as Roman as well. Anglican and Lutheran liturgies preserve some of the practices of that age which the Catholics have since reformed. Which is why some of the Lutheran vestments in Scandinavia reflect the vestments of the age. Other churches liturgies are spinoff of one of these three traditions or arose independently by people familiar with these liturgies.
One question: Of the 30-40 Anglican services you attended, did you try different churches? Most Anglican services are based on the Book of Common Prayer but not all. The TEC is a lot smaller than the CofE, which accommodates a much wider range of worship styles and indeed doctrines. At one end, Anglo-Catholics are characterised as more Catholic than Catholics. I have been to newly-built Anglo-Catholic churches replete with 14 stations of the cross, wings for Our Lady & Sacred Heart, tabernacles and altar rails. In other words, virtually identical to a Catholic Church. On the other hand, I have also attended the Evangelical end where they only use the BCP occasionally, preferring charismatic style worship. If anything, the pastor (he didn’t like being called a priest) considers himself more in communion with the evangelical church down the road than his own bishop. It is not easy for a Catholic mindset like mine to comprehend why he was still an anglican priest.