Preheat the oven to 375 degrees F. Line 2 baking sheets parchment, or coat them with nonstick cooking spray (must do this or cookies will stick to tray!).
Whisk the flour, baking powder and salt together in a medium bowl.
Beat the eggs and yolks with the sugar in a large bowl with an electric mixer until very light and fluffy, about 2 minutes. Beat in the tahini, oil and vanilla.
Stir in the flour mixture until combined to make a soft dough. Cover the dough and set aside for 5 minutes before forming into rings.
TO FORM THE RINGS: Pinch off a walnut-sized piece of dough and roll it into a rope that is about 5 inches long and 3/8-inch thick. (For smaller rings I use about a 2-3" piece of dough). Dust your hands and the parchment lightly with flour if the dough is sticky. Pinch the ends of the rope together to form a ring. Repeat until all the dough has been formed into rings. (TIP: I find it works well to roll the ring fat and short at first before you pinch it together. Then you can use your finger to stretch the dough out and the hole won't end up too large in the end).
TO GLAZE THE COOKIES: Put the sesame seeds in a small bowl or plate.
Whisk the egg white and honey together, and then brush each ring with the mixture. Then immediately dip the ring into the sesame seeds. (I like to "swirl" the seeds to fully coat the ring). Place the rings seeds side up, on the prepared baking sheet at least 1 inch apart.
Bake rings until lightly browned, about 15 to 20 minutes. If making smaller rings, cut back baking time to around 8-10 minutes. Transfer from baking sheet and cool on wire racks. Serve.
Enjoy! These cookies keep for a couple weeks stored in an airtight container at room temperature. They can also be double-wrapped in plastic wrap and frozen for up to a month.