Pour some of the cake drip onto a small plate, then dip the rim of each martini glass in the cake drip. Turn the glass a few times over the plate to remove any excess.
Pour some of the sprinkles onto a separate plate, then lightly dip each glass rim into the sprinkles to coat. Set the glasses down gently on a plate or sheet of wax paper to set.
Pour the Baileys, vodka, amaretto, ice cubes, and half & half into a cocktail shaker. Cover and shake well to combine.
Strain into the prepared glass and serve immediately
Notes
Substitute half whole milk and half heavy cream for the Half & Half if needed.
For a dairy-free cocktail - substitute half canned coconut milk and half dairy-free milk of your choice. You will also need to find the dairy-free version of Baileys Almande made with almond milk.
Multiple cocktails can be made a day or two in advance and stored in an airtight pitcher in the refrigerator until ready to serve.