First, you might not assume people know what you mean. In this thread, then, please simply explain what you yourself mean by Christian anarchy.
One thing I think of is Hebrews 13:17.
To me, this means God does have leaders whom He Himself trusts to "take care of the church of God" > please consider 1 Timothy 3:1-10. And if we are capable of knowing the voice of Jesus, we can be guided to the leadership whom Jesus trusts to take care of us.
And my personal experience is that God's example leaders can be found in independent churches, congregational churches, and in hierarchical churches. But other leaders in other churches of the same groups can be ones not approved. So, we need to pray and be guided by God, and certainly not by certain one-size-fits-all ideas or rules. But personally discover who God has as your example leadership people > ones who know you personally so they can see through you and help you get real correction and maturation in Jesus . . . so you become more sharing and submissive to God in His peace (Colossians 3:15) and how Jesus has us loving as His family (Ephesians 4:31-5:2, Ephesians 4:2) while also caring for others in prayer for them and our example to reach them (Matthew 5:46; "first of all" > 1 Timothy 2:1-4).
why attend a tithe-paying Church?
I have read how tithing was done, in the early scripture times, and I can not say I know any church which does this. Where I have been in the United States, anyway, the money often is used for building operation and paying professional ministry people; tithes are not serving so ministerial people and widows and orphans and foreigners may have enough to eat and be "satisfied" (Deuteronomy 14:28-29); and I never have heard about using the tithe to materially supply the tither for joining in celebration with other children of God, like we see in Deuteronomy 14:22-27.
By the way, it looks to me like worship items were derived from the plundered items of Egypt; tithes were not used for material support of worship, it seems to me.
As I said to the Seventh Day Adventists they should practice what they write about in their Quarterly, pool all of their resources, sell their possessions and share according to need, pastors included!
One thing, though > my impression
> please test this, yourself > yes, the early church had some very impressive things going on; but . . . even so . . . a lot of that happened not long after they were first filled with the Holy Spirit; so it is my consideration that they were not a very mature church, at the time of those earlier things. So, they might have been great, but done by God through an immature church!
So, I would not try to emulate what was done while the church was still young, but pray and grow in Jesus and discover how He creates with us . . . not self-righteously criticizing anyone now in comparison with what the church did while it was still not mature. I can see how God could have given the young church a jump start, but now we need to grow to what He will trust us with doing and discovering who He will trust to our care.
Our Apostle Paul had the spiritual "gift" of apostleship, I understand. The gift was perfect and mighty, to help tide the church over until we had mature and seasoned men who could meet the character quals of 1 Timothy 3:1-10. Paul knew such men were needed. And, of course, Paul himself grew and matured to discover how then he could minister and labor and care for God's people.
So, if you really want to get somewhere > grow there