This question is too ambiguous!
I like all of the above.The type of potatoes I like depends on what I'm having with them.
If it's meatloaf or roast turkey, it's mashed!
If it's a Burger or Hot Dog or other sandwiches like a Club, it's fries.
If it's a steak, it's baked.
If its an open-faced roast beef sandwich with gravy, it could be either mashed or fries.
If it's eggs and sausage or CFS or Corned Beef Hash, it's Hash Browns or Home Fries. (You forgot them on the list)
Point being, I never met a potato I didn't like!