Preheat oven to 350°F; line two baking sheets with parchment paper.
In a medium bowl, mix together flour, oats, oat bran, baking soda, and salt. Set aside.
In a large mixing bowl, combine butter and sugars until well mixed. Add egg, milk, and vanilla extract and mix well. Add the flour mixture and mix until just combined, then add the coconut, cherries, and white chocolate chips; mix until well combined.
Portion dough onto prepared baking sheets, about 2 Tbsp per cookie, leaving about 2-inches of space between. Bake until the edges are golden-brown, about 12 minutes. Let cool on the baking sheet for 5 minutes then remove to wire racks to cool completely.