Place crumbled feta and softened cream cheese into the bowl of a food processor.
Add minced garlic, lemon juice, lemon zest and one tablespoon of olive oil.
Pulse the mixture until it begins to combine and break down, scraping the sides as needed.
Add Greek yogurt or sour cream to loosen the texture and pulse again until creamy.
With the processor running, drizzle in the remaining olive oil until the dip is smooth and airy.
Taste and season with black pepper and crushed red pepper; add more lemon if desired.
If the dip is too thick, add a teaspoon of water or more yogurt and blend to reach desired consistency.
Transfer the whipped feta to a serving bowl and smooth the top with a spoon.
Create a shallow well in the center, drizzle extra olive oil, and garnish with paprika, lemon zest and chopped herbs.
Let rest 10 minutes for flavors to meld or chill up to an hour before serving; serve with pita, bread or vegetables.