>> “Actually, the Old Testament has some pretty strict dress codes.” <<
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Lay the references on us!
“5 “A woman shall not wear a man’s garment, nor shall a man put on a woman’s cloak, for whoever does these things is an abomination to the Lord your God...You shall not wear cloth of wool and linen mixed together. “You shall make yourself tassels on the four corners of the garment with which you cover yourself...” - Dt 22
“You shall not sow your field with two kinds of seed, nor shall you wear a garment of cloth made of two kinds of material...You shall not round off the hair on your temples or mar the edges of your beard. 28 You shall not make any cuts on your body for the dead or tattoo yourselves: I am the Lord.” - Lev 19
“13 Judge for yourselves: is it proper for a wife to pray to God with her head uncovered? 14 Does not nature itself teach you that if a man wears long hair it is a disgrace for him, 15 but if a woman has long hair, it is her glory? For her hair is given to her for a covering. 16 If anyone is inclined to be contentious, we have no such practice, nor do the churches of God.” 1 Cor 11
“8 I desire then that in every place the men should pray, lifting holy hands without anger or quarreling; 9 likewise also that women should adorn themselves in respectable apparel, with modesty and self-control, not with braided hair and gold or pearls or costly attire, 10 but with what is proper for women who profess godliness—with good works.” - 1 Tim 2
Just a sample.
"You are to make tassels on the corners of your garments, with a blue cord on each tassel" (Numbers 15:38).
"A woman must not wear men's clothing, nor a man wear women's clothing, for the LORD your God detests anyone who does this." (NIV, Deuteronomy 22:5)
There's just a few quick ones from the Old Testament. You can find more if you take some time to research. Also some in the New Testament.
Here are two:
Deuteronomy 22:5
The woman shall not wear that which pertaineth unto a man, neither shall a man put on a woman’s garment: for all that do so are abomination unto the LORD thy God.
Deuteronomy 22:11-12
Thou shalt not wear a garment of divers sorts, as of woollen and linen together. Thou shalt make thee fringes upon the four quarters of thy vesture, wherewith thou coverest thyself.