Does a legal compilation of all laws included in the New Testament exist? Jews compiled Old Testament laws and found 613 commandments. I wonder if the same kind of compilation exists for the New Testament laws.
When a Pharisee asked Jesus which is the greatest commandment in the Law, Jesus said this:

Hear, O Israel, the Lord our God, the Lord is one.  Love the Lord your God with all your heart and with all your soul and with all your mind and with all your strength.  The second is this: Love your neighbour as yourself.  There is no commandment greater than these (Mark 12:29-31).

The first quotation is known as the Shema, named after the first word of Deuteronomy 6:4.  To the Shema Jesus joined the commandment from Leviticus 19:18 to show that love for neighbour is a natural and logical development of love for God.
As recorded in Matthew 22:40, all the Law and the Prophets hang on these two commandments.
Jesus went a bit further with regard to the law to love your neighbour as yourself.  He said:

But I tell you who hear me: Love your enemies, do good to those who hate you, bless those who curse you, pray for those who ill-treat you...  Do to others as you would have them do to you...  Be merciful, just as your Father is merciful (Luke 7:27-36).

The Ten Commandments were essentially a summary of the entire Old Testament law.  Nine of the Ten Commandments are clearly repeated in the New Testament (all except the command to observe the Sabbath day). Obviously, if we love God, we will not be worshiping false gods or bowing down before idols.  If we love our neighbours, we will not be murdering them, lying to them, committing adultery against them, or coveting what belongs to them.  The Old Testament law was never intended by God to be the universal law for all people for all of time. We are to love God and love our neighbours. If we obey those two commands faithfully, we will be upholding all that God requires of us.
The answer to your question is that there is no list of New Testament laws.
Note: This view is from a Protestant Christian.