Transfer Feta cheese, cream cheese, Greek yogurt, lime zest, small clove garlic, dried oregano, dried basil, salt, freshly cracked black pepper, red pepper flakes, and extra virgin olive oil to a food processor or a blender and whip for at least 3-4 minutes until light and fluffy.
Whipping for at least 3-4 minutes is an important step to create a creamy texture. Scrap the sides a few times while blending.
Transfer the dip to a shallow serving bowl and use a small spoon to create a swirl on the surface of the dip.
Drizzle with olive oil and sprinkle with red pepper flakes, dried oregano, toasted sesame seeds, and chopped parsley. Serve chilled or at room temperature.