Let me be a little provocative here . . .
No churches are "New Testament Churches," including mine. When I was a Protestant, I had an
idea of what that ideal NT church was like too. Something like this:
42 They devoted themselves to the apostles’ teaching and to fellowship, to the breaking of bread and to the prayers. 43 Everyone was filled with awe at the many wonders and signs performed by the apostles. 44 All the believers were together and had everything in common. 45 They sold property and possessions to give to anyone who had need.
Do we have that today in any church? I'd argue no. It would be cool if we did, but do you really want a 100 percent tithe? If you're honest, probably not. So, that ideal is not what we got today.
As for the term, "New Testament Church", the NT does not come in a compiled form in any sense until 360 AD.
The gospels and letters of Paul, Peter, John were circulated and eventually became what we know to be the New Testament. So, a church guided by the New Testament was not the original church; it's just historical fact.
But verse 42 does show us that Christian worship was there from the beginning. There was gathering, teaching of the apostles (NT readings), breaking of the bread (communion), and the prayers (liturgy; the NIV says just prayers but as usual the NIV is not the best interpretation). Early Christian worship is based on old testament worship. There was several heresies that rejected the OT outright, but these quickly died out. I think because Christian worship had the feel of OT worship.
So, if there is not a New Testament church ever (which is what I am arguing above), do we have a faith? The answer is yes. Jesus in Matt 16:18 starts a church and one that will not cease (the gates of hell will not prevail against it). The faith was passed down from Jesus to the apostles and other leaders called bishops. Besides the head of the church (Jesus himself) and the people, the bishops were essential to passing down this church from generation to generation. While this system led to many conversions to the faith, it wasn't enough to keep a pure doctrine. That was clarified (the faith was always there) in meetings of the church (the first being in Acts 15). One if the decisions of this church was to compile the New Testament. By 325 AD, the church held its first universal council since Acts 15. The councils decide, among other things, the nature of Christ, the role of the Holy Spirit, and the encouraged use of icons in worship. This was all complete by 787 (the 7th Ecumenical Council).
Don't look for the New Testament church, look for that church (not book) that Jesus promised he would build.
There are four major churches that go back to the beginning. One of those is what you are looking for. The other three are probably better than any Protestant church.