Something about the different laws of Leviticus being subdivided into different types- certain laws being moral, some being the laws of Israel, and some revolving around what's clean or unclean (i.e., what was healthy or dangerous at the time). However, Leviticus itself doesn't actually specify which is which. So it's supposed the laws that matter now were restated by Jesus. I think that's about right, but someone is free to correct me. The Ten Commandments aren't excluded as they're from Exodus.
I think it's a bit weird double standard, still, that we're able to subdivide those laws and determine which to follow while ultimately benign stuff like crossdressing is still considered sinful, and part of why I drifted into atheism and then Buddhism.
The division between "ritual", "cultural", and "ethic" commandments is indeed very artificial, and while it did gain a lot of ground in Western theology (because Latin Catholic theology has always been fond of categorizing things), it's not universally accepted.
An Eastern perspective (I say "an" and not "the", because the division between "types" of commandments is not completely foreign to those traditions either) would rather be that the commandments given by God in the Old Testament are not perfect (in the sense they themselves do not save, not that they're not holy) but rather a pedagogue (see Galatians 3) to teach a still spiritually immature world about the high moral expectations God expects from His people, and the inherent holiness ("holy" meaning "set apart") of God. The commandments are for a spiritually immature Israel, but the Church has reached maturity and is therefore ready to follow the perfect will of God perfectly, in light of the salvific work of Jesus Christ. For instance, see the ten commandments: "do not murder" becomes the much stricter "do not even hate"; "do not commit adultery" becomes "do not even look at someone with lust"; "commemorate the Sabbath, the 7th day of creation" becomes "commemorate Easter, the 8th and final day of creation"; and so on. (see 2 Timothy 3:16-17, where it is said that the scriptures - meaning the Old Testament for the author - are useful for teaching and training in righteousness, but does not say more) Commandments that call for capital punishment completely lose their power, not because God does not want to purify the world from sin but because this purification is done through Baptism and the final judgement rather than a unhealthy alliance with death (as death is against God's primary will, and Jesus's whole shtick was about destroying death forever), although even this sentiment is found prefigured in the Old Testament (see Proverbs 24:11-12 and Wisdom 1:12-15 for instance). At the council of Jerusalem in the book of Acts, the apostles figured that the only Old Testament laws that Gentile converts (and therefore all Christians) absolutely need to adhere to strictly as written for salvation are to abstain from idolatry, abstain from eating blood, abstain from sexual immorality, and abstain from eating animals that were not properly slained, and that is because they didn't find a way in which the gospel would change the application of those commandments, not because they made a certain distinction between "categories" of commandments. (incidentally, partially as a result of this different approach from Western tradition, Roman Catholics are permitted to eat blood as they consider it to not be a moral law, while Eastern and Oriental Orthodox are canonically expected to abstain from blood still)
The ten commandments are highly revered, since the other commandments given to Moses are basically just a large elaboration on those 10, but a Christian should rather look to the Sermon on the Mount to see what exactly is the divine will that the Torah had only revealed to a level where it was condescending to what the Hebrews, who were normal people, could do.
edit: Sorry, I don't mean to sound like I'm preaching... I just wanted to say that the approach is not "let's trim these parts of Exodus, Leviticus, and Deuteronomy, and use the rest", even if it may look that way when some people point directly to commandments in Leviticus or Deuteronomy without explaining further what they mean other than "the Bible said it, that settles it".
And, incidentally, to avoid going too far off-topic, this is exactly why it's really difficult to find a single common "doctrine" throughout Christendom about not only homosexuality, but also what to do with same-sex couples.