Note:
All recipes shown are for gold-type equipment, because that's the only rarity that matters.
It is possible to grey out all options, for example with a 10-151-10-10 recipe.
This merely means that that kind of recipe will produce no gold at all.

A piece of advice:
Rather than picking a category you want and rolling that you should first roll the most
generic recipe possible and then progressively try to exclude categories you don't need.