My most successful makes were from a carefully unpicked M&S bra, this one I think.
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and one of mine
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KwikSew 3594 is very similar, though it doesn't use underwires.
I bought the Craftsy (Now Bluprint) Sewing Bras course with Beverley Johnson and the one she demonstrates is a classic full band with a two piece cup, very similar to my M&S one.
Kwik Sew 3594 is very similar, it just doesn't have the underwires.
As far as I can see the only difference between a wired and a non-wired bra of that design is that if you want wires you need to use proper channelling over the seam between cup and cradle (lower band) but for non-wired you only need to use seam binding.