Once upon a time I seem to remember that you could search for items in the CW shop by the layer. Is there a way to do this in the new shop?

No, not from the Cash Shop. But if you go into the beta wardrobe and select Custom Wearables from the top of the screen, it should only show you CWs available in people's CW shops, and if you put them on your HA it gives you a direct link to the shop.

Ah, yes! Thank you! I've been using the beta wardrobe but with the "All Items on Subeta"/"Only Custom Wearables" feature. Which is, obviously, full of unbuyables. I don't know how I kept missing the button on the top.

Now if only the sort by name or newest option worked properly.