We read in Romans 3:19-21:
"Now we know that whatever the Law says it speaks to those who are under the Law, so that every mouth may be stopped, and the whole world may be held accountable to God. For no human being will be justified in his sight by works of the Law, since through the Law comes knowledge of sin. But now the righteousness of God has been manifested apart from Law, although the Law and the Prophets bear witness to it."
The Torah does indeed speak to those under the Torah, and because those under the Torah are sinful, just like those outside it, the whole world is held accountable to God. Nobody will be justified by the Torah because that is not its purpose; the function of the Torah was to bring a knowledge of sin. But now a way of becoming righteous apart from the Torah has been revealed, and the Torah and the Prophets in fact testify to this method.
I would posit that the work was completed when Jesus said that it is finished on the cross. His death made us able to be forgiven our sins. His resurrection fulfilled it. We have hope in his life and faith in his promises and that justifies us. So I would say the whole law was fulfilled. Regarding dietary laws, God has made things clean (spiritual meaning here too), moral laws now have a point of fulfillment. Do these, and the resurection is proof of the fulfillment.
