Component Prep : First, prepare the toppings to allow their flavors to meld. Quarter the grape tomatoes and place them in a small dish. Gently mix in the crumbled feta cheese and set aside.
Crisp the Bread : Place the sourdough slices in a toaster or arrange them on a rack under your oven's broiler, set to LOW. Toast for 2–4 minutes, turning once, until the bread is golden-brown and crisp at the edges.
Whip the Avocado Spread : While the bread is toasting, halve the avocados, remove the pits, and scoop the flesh into the shallow pasta bowl. Add the lemon juice, smoked paprika, and dried oregano.
Create the Smash : Using the back of a fork, vigorously mash the avocado against the sides of the bowl until it reaches a chunky-smooth consistency. Season lightly with a few grinds of black pepper.
Layer the Base : Once the toast is ready, immediately divide and spread the avocado smash evenly across the warm surface of each slice, covering it from edge to edge.
Garnish and Serve : Generously spoon the tomato and feta mixture over the avocado layer. For extra richness, add a light drizzle of extra-virgin olive oil before serving immediately.