Preheat oven at 350 degrees Fahrenheit (180 degrees Celsius).
Wash and chop all the vegetables. Dry well.
Heat a pot with 1-2 teaspoon olive oil on low to medium heat, add the greens and heat until spinach is wilted- about 3 minutes and liquids have evaporated. *Alternatively place all the greens in a big bowl, add salt and rub together. Let them sit for 15 minutes and then skip step and go to step 5 (five).
Place spinach in colander and let it drain and cool. Once cool, squeeze the liquids out with your hands, place in large bowl.
In a small bow beat the egg and add crumbled feta and a bit of salt and pepper for taste, add to greens and mix well.
Take a round 8-9 inch pan and brush with olive oil.
Spread a phyllo sheet and cut in half. Place phyllo in pan scrunching it so it fits in the pan, this will make for thicker and crispier base. Brush with olive oil and continue until you have 6 layers (using 3 sheets cut in half).
Empty the greens mixture in the pan, spreading evenly.
Cover with 6 layers of phyllo using the same technique as before. After placing the last phyllo sheet. Brush with olive oil, sprinkle with a bit of water and the sesame seeds if using.
Score the top phyllo layers in 6-8 pieces, do not cut all the way through.
Bake in the lower level of the oven for about 45 minutes. I usually place the pie all the way on the bottom directly on the oven for the last 10 minutes for a crunchy crust.
Remove and let it cool. It can be enjoyed warm or at room temperature.