If we're talking about expanding to other potatoe-preparations, we might as well include a simple baked potatoe.

And, as a Bavarian, I cannot omit the glorious Knödel (in all it's potato-based variations).

Wedges are fried often times. At our nation-wide supermarket for example, at the ready-made counter, wedges are definitely fried. Same with the mom and pop chicken shop down the street.

I think the OP was originally about fried preparation of potatoes. Wedges at least in North America are usually fried, I think the only non-fried ones I've seen are in the UK.

Also if we're talking about the best preparation of potatoes in general, it's mashed and there's no argument there.