As most have stated, I don't think it much matters, the biggest obstacle seems to be stowage.
I cant believe I am saying this but...if there is one thing I have more of on the boat than anywhere else, its non stick cookware! Why? Easier and faster to clean = less water usage. I would add, don't spend $$$ on non stick cookware, I have found Tefal a pretty good value. I Never understood why someone would buy a non stick All Clad pan
I have a lot more tools than I really need aboard, I just cant help myself. The best electric tool you can have in my opinion (other than the coffee grinder, that more of a necessity) is the item wingNwing mentioned, an immersion blender. Of course this item is only useful if you have an inverter/generator, if not I suppose you could buy one of the rechargeable ones and recharge when plugged in. I also have a very handy fish scaler for all that fresh fish, LOL. High Carbon SS knives are my preference on the boat, I have several Wustof Grand Prix series knives held in place with a three magnet rails.
I have a cast iron skillet and griddle on board, I treat them the same way as I would at work/home, light coat of oil after cleaning.
I don't care much for the thin SS stuff, especially the camping type stuff, but it has its place if you have limited stowage
I am not familiar with the "nesting" cookware a lot of folks seem to like.
As much as I like cooking with a Wok, I cant get it hot enough with the boats stove/burner for it to be useful in my opinion so thats out.
A pizza stone works great on the grill. Fits our old Magma grill perfectly, and cooks up a nice pie, plus keeps the heat out of the cabin on those hot days. Just don't preheat it much or it will crack, ask me how I know.
Another item I recommend is something you can use for steaming, I like the collapsible ones found in most grocery stores. Steaming foods such as veges and fish uses a lot less energy than boiling/blanching them, I steam a lot more often on the boat than at home/work.