Using a vegetable peeler or a mandoline slicer, carefully slice the zucchini lengthwise into thin ribbons.
Place the ribbons in a colander, sprinkle with a pinch of salt, and let sit to draw out excess moisture for about 10 minutes. Pat dry with a paper towel.
Drain and rinse the soaked almonds. Combine almonds, lemon juice, olive oil, garlic, and salt in a food processor.
Process until the mixture is smooth and creamy, scraping down the sides as necessary. Refrigerate until ready to use.
In a food processor, combine mint leaves, parsley, olive oil, pine nuts, and garlic.
Pulse until the mixture forms a coarse paste, adding more olive oil if necessary. Season with salt and pepper to taste.
Arrange the zucchini ribbons on a serving platter.
Dot the almond feta over the zucchini ribbons using a teaspoon.
Drizzle the mint pesto generously over the top.
Garnish with toasted almond flakes and extra mint leaves.