Yes potatoes are based, dog bless your andean ancestors for gifting us these tasty starches.
>when eating in your country they put hash browns as a side dish with sandwiches
Like at mcdolans? I know they have the hash brown patties they serve at breakfast which are tasty but quite greasy. I prefer the looser style hash browns alongside something to moisten them up like eggs or cheese or sour cream.
As for the pics you posted:
>1
I swear I've seen this before, no idea what it's called but I know I have seen a Peruvian post this before, whether it was here or pedochan I don't remember. It is a dish served cold iirc?
>2
I've had this or something similar to it many times but can't recall the name, but yeah cheesy creamy layered potatoes bretty good
>3
Good ol mashed potatoes, truly luxurious if done right
>4
What's this, some kind of curry?