Adjust an oven rack to the middle of the oven and preheat the oven to 350F [180C]. Grease two 8 by 2 in [20 by 5 cm] round cake pans and line the bottoms with parchment paper.
In a medium bowl or liquid measuring cup, whisk together the egg whites, milk, creme fraiche, and vanilla.
In the bowl of a stand mixer fitted with a paddle, combine the flour, granulated sugar, baking powder, and salt.
With the mixer running on low speed, add the butter one piece at a time, beating until the mixture resembles coarse sand. With the mixer still running on low speed, slowly add a little more than half the wet ingredients. Increase the speed to medium and beat until the ingredients are incorporated, about 30 seconds. Add the rest of the wet ingredients, mixing until just combined. Increase the speed to medium and beat for 20 seconds (the batter may still be a little bumpy). Scrape down the sides and bottom of the bowl, add the sprinkles, and use a spatula to mix the batter a few more times, incorporating the sprinkles and making sure everything is completely combined.
Divide the batter between the prepared pans and smooth the tops. Tap the pans gently on the counter twice each to help get rid of any air bubbles. Bake for 30 to 38 minutes, rotating the pans halfway through, until the cakes are golden brown and a wooden skewer or toothpick inserted into the center comes out with a faint bit of crumbs.
Transfer the pans to a wire rack and let cool for 30 minutes. Turn the cakes out onto the rack, remove the parchment paper, and let cool completely. Once cool, the cakes can be frosted or wrapped in plastic and refrigerated overnight. Unfrosted cakes can also be wrapped in plastic and froze for up to 1 month.