Preheat your oven to 350°F (175°C).
In a 9-inch round cake pan, melt the butter in the oven, then sprinkle brown sugar over it.
Arrange the pineapple slices over the sugar mixture, and place the cherries in the centers of the pineapple slices.
In a mixing bowl, beat together granulated sugar and eggs until light and fluffy.
Add in the milk and vanilla extract, mixing until combined.
In a separate bowl, whisk together flour and baking powder. Gradually add this to the sugar mixture, mixing until just combined.
Pour the batter over the pineapple and cherries in the cake pan.
Bake for 35-40 minutes or until a toothpick inserted in the center comes out clean.
Remove from the oven and let cool for 10 minutes before inverting onto a serving plate.
Serve warm or at room temperature.