Preheat the oven to 450°F (232°C).
Use a sharp knife to poke a few holes in each of the 2 medium eggplants so steam can escape while roasting.
Place the eggplants on a foil-lined baking sheet and roast on the middle rack for about 30 minutes, turning once halfway through, until the skin is blistered and the flesh is very soft.
Remove the baking sheet from the oven and let the eggplants cool until they are easy to handle (10–15 minutes).
Cut each eggplant in half lengthwise. Use a spoon to scoop the flesh into a bowl, discarding the skins and any large seeds.
Transfer the scooped eggplant flesh to a blender jar. Add 3 tablespoons tahini, 2 cloves garlic (pressed), the juice of 1 lemon, and 1 teaspoon kosher salt.
Process until smooth, stopping to scrape down the sides as needed. Taste and adjust seasoning with a little more salt if desired.
Spoon the baba ganoush into a serving bowl, make a shallow swirl with the back of the spoon, then drizzle 1 teaspoon extra virgin olive oil over the top.
Garnish with a sprinkle of paprika and chopped fresh mint, parsley, or cilantro as preferred.