(Optional Step) Heat olive oil in a large skillet over medium-high heat. Add corn tortillas, one at a time, to the skillet and fry for 15-20 seconds on each side, just until the tortillas begin to crisp around the edges. Transfer to a plate and blot off excess oil with paper towels. Repeat with remaining tortillas and set aside.
Reduce heat to medium-low and fry the eggs sunny-side up in the leftover oil, just until the whites are set and the yolks are still runny. Season with chipotle powder and sea salt, to taste, and remove from heat.
Top each tortilla with a sunny-side up egg and serve immediately with choice of diced avocado, fresh cilantro, shredded Monterey-Jack cheese, refried beans, and/or spicy salsa on the side.
The instructions below include an optional step of frying each corn tortilla in olive oil until slightly crispy around the edges. Another alternative is to toast the tortillas in a dry, non-stick skillet.