At the federal level, you have several types of court, but I will only discuss two of them.
You have your judiciary courts aka Article III.
You have your legislative courts aka Article I.
There are only 94 courts at the federal level which are Article III courts. This is the US Supreme Court as well as your district courts. I suspect a small sprinkling of other peculiar courts are Article III courts.
Your Article I courts are such as Social Security, U.S. Tax Court, and others.
When I hear 'statutory court', are you referring to courts created by legislative fiat?
For those more advanced in this, it is said by the late "Informer" as well as Rod Class that all courts are administrative rather than judicial.
For those more advanced still, you convene your own court by how you administer your private law business AND commercial business.
As to state courts, I have yet to do an in depth study or analysis of them. I suspect it will be similar to that written above.