In a food processor, blend the crumbled feta cheese, cream cheese, plain Greek yogurt, honey, roughly chopped pistachios, lemon zest, dried basil, and dried dill until smooth and creamy, about 1 minute. Stop halfway through to scrape down the sides of the food processor.

Scoop the mixture into a serving bowl. Top with pomegranate seeds and roughly chopped pistachios. Drizzle with honey and sprinkle lemon zest over the top.

Cut pita bread into wedges for serving, or serve with pita chips, crackers, or a sliced baguette.