Preheat the oven to 350°F (175°C).
Melt the butter in a 9-inch round cake pan.
Sprinkle brown sugar over the melted butter in the pan.
Arrange the pineapple slices on top of the brown sugar mixture and place cherries in the centers.
In a mixing bowl, combine flour, granulated sugar, baking powder, and salt.
In another bowl, whisk together the milk, eggs, melted butter, and vanilla extract.
Gradually add the wet ingredients to the dry ingredients, mixing until just combined.
Pour the batter over the arranged pineapples and cherries in the pan.
Bake in the preheated oven for 35-45 minutes, or until a toothpick inserted in the center comes out clean.
Let the cake cool in the pan for about 10 minutes before inverting onto a serving plate.
Serve warm or at room temperature, and enjoy!