Set your oven to 350°F (175°C) and line a baking sheet with parchment paper.
In a small bowl, combine the 1/2 cup packed brown sugar with a tablespoon of softened butter if you like, to help it caramelize beautifully. Set aside.
In a large bowl, use your mixer to cream together the softened unsalted butter and granulated sugar until the mixture is pale and fluffy, about 2-3 minutes.
One at a time, beat in the large eggs, making sure each is fully incorporated before adding the next. Stir in the vanilla extract.
In a separate bowl, whisk together the all-purpose flour, baking powder, baking soda, and salt. Gradually add this to the butter mixture, mixing on low speed to avoid overworking the dough.
Gently fold in the drained crushed pineapple with a spatula, distributing it evenly without breaking it down too much.
Drop spoonfuls of the brown sugar mixture onto the lined baking sheet, then top each with a scoop of cookie dough. Press lightly to flatten slightly. Top each cookie with a maraschino cherry, gently pressing it into the dough.
Bake for 12-15 minutes or until the edges are golden and the centers are set. Allow the cookies to cool on the baking sheet for 5 minutes before transferring them to a cooling rack to finish cooling.