I'm not aware of any cooking/crafting/alchemy system that doesn't show you which items you need to combine to produce another item.
I also can't remember seeing one that can fail when you do have all the right ingredients.
That being said, your best bet is to find a system that mostly works the way you want, and have it modified.
You need to provide enough detail so that someone can make the modifications you need. pictures help (a lot) even if they're rough sketches.
How will it be accessed? a "Cooking" option on the main menu, a special key in the item menu?
How will the user select the items?
What happens on success? (What does the user see?)
What happens on failure? (again, what does the user see?)
Are any items exempt? (not selectable when cooking)
Are there non-consumable items required? (Pots, pans, etc..)