Preheat oven to 350°F and place a rack in the center position. Line baking sheets with parchment paper or silicone baking mats.
In a large bowl, beat the butter until smooth. Add the brown sugar and sugar and cream together until the mixture is light and fluffy, scraping down the bowl as needed.
Add the eggs and vanilla extract to the butter mixture and beat until well combined.
In a separate bowl, whisk together the all-purpose flour, sea salt, and baking soda.
Gradually add the dry ingredients to the wet ingredients and mix on low speed (or fold by hand) until just combined. Do not overmix.
Stir in the white chocolate chips and dried cherries until evenly distributed through the dough.
Drop rounded tablespoon-sized portions of dough onto the prepared baking sheets, spacing them about 2 inches apart to allow for spreading.
Bake for 10–12 minutes, or until the edges are lightly golden and the tops are set.
Remove cookies from the oven and let them cool on the baking sheet for about 5 minutes, then transfer to a wire rack to cool completely.