Beat eggs in a bowl until smooth. Mix almond flour, tapioca flour, almond milk, vanilla extract, baking soda, baking powder, and salt into eggs until batter is just combined.
Heat a lightly oiled griddle over medium-high heat or heat an electric frying pan. Drop batter by large spoonfuls onto the griddle and cook until bubbles form and the edges are dry, 3 to 4 minutes. Flip and cook until browned on the other side, 2 to 3 minutes. Repeat with remaining batter.