The remaining 603 do not all fall under the Ten, so you might want to actually read the link I supplied you in some detail. Also, Torah says that all 613 are from God, so to just pull out the Ten and then ignore or devalue the rest doesn't fit into what Torah actually says and teaches.
Also what is important was God's order to Moses to create courts, not just for violation of the Law, but also to help spell out some of the details involving the Law.
For example, God says that we as Jews must slaughter animals only in the "prescribed manner", and yet that exact manner is not described in Torah itself. Thus the courts took it upon themselves to elaborate on what are called the kosher Laws.
BTW, do you observe Shabbat, which is obviously one of the Ten and the other 603 Commandments? A reminder that it is an actual day of the week that runs from Friday sundown to Saturday sundown?
All of the law falls under the ten in one way or another.
All obedience to God falls under the first commandment.
I have studied the subject of the law. I do not need to revisit these points.
That which is not of faith is also sin. If you are convinced that God still requires animal sacrifice, that is between you and God. All such sacrifices foreshadowed that of Christ -which did what those could never truly do, and made such now unnecessary.
You may not be so convinced -but I am. That is between me and God.
When even the serpent will eat dust -and the lion will eat straw like the ox -and they will not hurt or destroy in all his holy mountain -when all nations will go up to Jerusalem to keep the feast of tabernacles or receive no rain -do you still believe God will require that men kill animals?
Psalm 40:6Sacrifice and offering thou didst not desire; mine ears hast thou opened: burnt offering and sin offering hast thou not required.
7Then said I, Lo, I come: in the volume of the book
it is written of me,
8I delight to do thy will, O my God: yea, thy law
is within my heart.
Psalm 51:16For thou desirest not sacrifice; else would I give it: thou delightest not in burnt offering.
17The sacrifices of God
are a broken spirit: a broken and a contrite heart, O God, thou wilt not despise.
18Do good in thy good pleasure unto Zion: build thou the walls of Jerusalem.
19Then shalt thou be pleased with the sacrifices of righteousness, with burnt offering and whole burnt offering: then shall they offer bullocks upon thine altar.
Hosea6:6For I desired mercy, and not sacrifice; and the knowledge of God more than burnt offerings.
7But they like men have transgressed the covenant: there have they dealt treacherously against me.
Isaiah 29:1Woe to Ariel, to Ariel, the city
where David dwelt! add ye year to year;
let them kill sacrifices.
Isaiah 65:17behold, I create new heavens and a new earth: and the former shall not be remembered, nor come into mind.
18But be ye glad and rejoice for ever
in that which I create: for, behold, I create Jerusalem a rejoicing, and her people a joy.
19And I will rejoice in Jerusalem, and joy in my people: and the voice of weeping shall be no more heard in her, nor the voice of crying.
20There shall be no more thence an infant of days, nor an old man that hath not filled his days: for the child shall die an hundred years old; but the sinner
being an hundred years old shall be accursed.
21And they shall build houses, and inhabit
them; and they shall plant vineyards, and eat the fruit of them.
22They shall not build, and another inhabit; they shall not plant, and another eat: for as the days of a tree
are the days of my people, and mine elect shall long enjoy the work of their hands.
23They shall not labour in vain, nor bring forth for trouble; for they
are the seed of the blessed of the LORD, and their offspring with them.
24And it shall come to pass, that before they call, I will answer; and while they are yet speaking, I will hear.
25The wolf and the lamb shall feed together, and the lion shall eat straw like the bullock: and dust
shall be the serpent's meat. They shall not hurt nor destroy in all my holy mountain, saith the LORD.