Melt the butter in a small saucepan and set aside.
Line a 20cm square cake tin with filo sheets and brush with 15ml of melted butter.
Layer scrunched filo, crumbled feta, Parmesan, and thyme, drizzling with another third of the butter.
Repeat the layering process until ingredients are used, finishing with a scrunched filo lid.
Fold overhanging edges inward, pour over remaining butter, and score into 9 squares.
Whisk eggs with milk, pour over the pie, sprinkle with sesame seeds, and rest for 30 minutes.
Bake at 180°C for 30 minutes until golden, then rest for 10 minutes and drizzle with honey.
Slice using a serrated knife and serve with extra honey on the side.