Preheat the oven to 340°F (170°C). Grease and line a 9x5 inch (2 lb) loaf pan with parchment paper, leaving an overhang for easy removal.
In a large mixing bowl, beat the eggs and sugar with an electric mixer for 2–3 minutes, until thick, pale, and fluffy.
Add the oil and beat again until fully combined.
Stir in the freshly squeezed orange juice, orange zest, and vanilla bean paste.
In a separate bowl, whisk together the flour, baking powder, and salt.
Gently fold the dry mixture into the wet mixture using a spatula, mixing just until no flour streaks remain.
Pour the batter into the prepared loaf pan and smooth the top.
Bake for 45–50 minutes, or until a toothpick inserted into the center comes out clean or with a few moist crumbs.
Allow the cake to cool in the pan for 10–15 minutes. Then run a knife around the edges and lift it out using the parchment paper. Cool completely on a wire rack.
To make the glaze, whisk the icing sugar with 3–4 tablespoons of orange juice until smooth and pourable.
Once the cake is completely cool, drizzle the glaze over the top.
Garnish with your choice of toppings like nuts, zest, or dried fruit.