Preheat the oven to 350°F (175°C). Grease and flour a loaf or bundt pan.
In a large bowl, cream the butter and sugar together until light and fluffy (about 3–4 minutes).
Add the eggs one at a time, beating well after each addition. Mix in lemon zest, lemon juice, and vanilla extract.
In another bowl, whisk together flour, baking powder, and salt.
Gradually add the dry ingredients to the wet mixture, alternating with the milk. Mix until just combined — don’t overmix.
Pour the batter into the prepared pan and smooth the top.
Bake for 50–60 minutes (loaf) or 45–55 minutes (bundt), until a toothpick inserted into the center comes out clean.
Allow the cake to cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.
In a small bowl, whisk together powdered sugar and lemon juice to create the glaze. Drizzle over the cooled cake.