Electrolysis isn't your problem - electrocution is. You've got an obvious wiring problem, a short and need to change your drink of choice to ice tea/coke/cold beer instead of hot soup until it's resolved!

I've not touched the wireing of the stove. So something must have worn through... Guess I can do a shock test and see if it happens with the oven or just the top area.

You have two problems. Hot wire touching the metal in the stove. Real problem is stove is not grounded properly. If it was, the fuse or breaker should trip immediatly.Think what should happen if you touch a hot wire to ground. Big bang and flash and breaker trips. In your house or on the boat, all metal parts should be connected with a low resistance connection to ground. This is to prevent just what you have happening, and then being electrocuted. I would check all the wiring on the boat, lots of people don't know what they are doing, but do it anyway. I hear "but it works" or "it doesn't matter, I'm going to sell it anyway".
Easy to get to the wiring on the boat and check everything. Good luck, Ed

If nothing has been worked on recently, I would think that a bad element in the stove is most likely. Ground wire maybe has been disconnected that's why breaker doesnt trip. ( the element can go to ground ie outer sheath, and still work, especially if safty ground has been disconnected) Go buy a volt ohm meter if you don't already have one, much safer than touch test, & there only about $15.00.

Roger

So just how involved would it be to remove said stove. I'm thinking microwave and grill should be enough. And that thing probably weighs a lot.

Anyone remove their stove? What did you do to fill in that space? Mine is on the port side and hooks to the sink. It's on the end.

with 120 onboard a metal boat wouldn't GFI outlets make sense?

There is a problem with your stove wiring - no failure of the stove itself should result in you getting a shock.

The plug for your stove must be 3-prong and the green wire must go to the frame of the stove. The ground prong in the outlet must go back to the boat ground, often it is grounded to the hull at a frame forward of the engines. There is no reason for it to go into the engine room, and I would make sure that your entire green ground system goes to the hull.

Finally, the green from the shore power must NOT go to the hull. It goes to the galvanic isolator, which then goes to the hull.

My guess is that your stove is missing the connection from the frame to the ground prong on the plug. I would look there first.