Boil the diced potatoes in salted water until fork tender, about 10 minutes. Drain and transfer to a bowl.
Mash the potatoes slightly, leaving some chunks for texture. Stir in cheese, sour cream, green onions, garlic powder, paprika, salt, and pepper.
Lay out tortillas and spoon a generous portion of the potato mixture onto each. Roll them up tightly, folding in the edges.
Heat a skillet with a drizzle of olive oil. Pan-fry each burrito until golden brown and crispy on both sides.
Serve warm with salsa, guacamole, or your favorite dipping sauce.