When asking for a church that is like the RCC, has similar teaching to the RCC, but is not the RCC, what exactly are you after.
The Church of England, event on the Anglo-Catholic wing is not like the RCC. It is ritualistic, where some RCC churches can be quite relaxed (all the mutterings of "you are right, father" don't really happen in the ACC).
The RCC is very authoritarian, whereas the COfE is much more into discipleship. If you want to be told what to do and believe, this should not happens in the COfE. The COfE will expound on scripture and try to make sense of it in light of the context of the day, the context in our lives and church tradition. You then take away those teachings and apply it to your own life, hopefully mulling it all over with a small group of like-minded Christians and a programme of personal bible study, and prayer.
In the context of Anglicanism, catholic means putting an emphasis on church tradition, evangelical means an emphasis on the word of scripture, and liberal means an emphasis on the modern context. All churches, from whichever wing, will have elements of all parts of this "three-legged stool".
So what part of religio