Slicing might be better as cutting or chopping, since there are many different shapes one may need to cut things into, especially for ornamental things like a fruit bouquet or watermelon basket or a fancy bento. Even grating and using a blender or food processor would probably go into that category.
Ok. I'll group those categories into one.
Roasting is not actually a unique action, IMHO. It's basically either baking or grilling, as the term can be used for both. Further, grilling and frying are almost the same thing. If you need a replacement I'd recommend the action of applying a liquid to a food, which includes icing, battering, basting, and brushing (e.g. brushing egg onto bread).
I see. In that case, it would make sense to combine roasting and grilling. Thanks for pointing that out! I don't really agree that grilling and frying are almost the same though, as frying involves the use of liquid whereas grilling involves applying dry heat to a food. I'll replace roasting with new category called Coating (which will encompass icing, battering, basting, and brushing).
You also don't have a method of making food cold (chilling, freezing), but that's not as commonly used in cooking. It's mainly used for making ice cream and pudding. Similarly there isn't anything here about melting, such as melting butter or chocolate, but it's not a really common action.
Oh, you're right. I completely missed that. I'll add chilling and freezing attributes to the pastry chef. Correct me if I'm wrong, but most dishes that use those methods are typically desserts, so it would fit perfectly.
Hmm, without using a microwave (not including that in-game), I think melting can be done with either Frying or Steaming. For example, butter can be melted in a pan (frying), but it would be better to steam the chocolate by putting it in a separate bowl over a pot of boiling water until it melts (steaming, but using a makeshift double boiler like this). I've actually done both before. Butter and chocolate are used in a lot of things, so it might be more common than you'd imagine.
Thanks for those suggestions!