Make the batter: Add eggs, milk, flour, sugar, salt, browned butter, and vanilla to the Vitamix. Blend for 30 to 45 seconds until smooth. If too thick, add a splash of milk.
Preheat the pan: Place an 11-inch stainless steel skillet over medium heat for 2 to 3 minutes. Test with a few drops of water. If they dance and glide, the pan is ready.
Grease lightly: Add a small amount of butter and swirl, then wipe away excess. Do not grease before every single pancake.
Pour the batter: Ladle about ⅓ cup into the pan, tilting quickly to form a thin circle.
Cook the blinchiki: You will know the first side is done when the batter turns from shiny to solid and bubbles form on the surface. This usually takes about 1 minute. Flip gently and cook for another 30 to 45 seconds until golden.
Repeat: Stack the crepes on a plate and cover with a towel to keep warm. Continue until all batter is used.