Whisk the wet ingredients: In a large bowl, whisk cottage cheese, pumpkin puree, eggs, maple syrup, and vanilla until mostly smooth. Small curds are fine.
Add the dry ingredients: Sprinkle flour, baking powder, baking soda, salt, and pumpkin pie spice over the wet mixture. Gently fold with a spatula until just combined.
Adjust the batter: Stir in melted butter or oil.
Add milk a little at a time until the batter is thick but pourable, like a loose yogurt. Avoid overmixing.
Preheat the pan: Heat a nonstick skillet or griddle over medium heat. Lightly grease with butter or oil.
A drop of water should sizzle on contact.
Cook the pancakes: Scoop 1/4 cup batter per pancake. Cook 2–3 minutes, until the edges look set and bubbles form and pop. Flip and cook 1–2 more minutes until golden and cooked through.
Keep warm: Transfer cooked pancakes to a low oven (200°F/95°C) while you finish the batch.
Serve: Top with maple syrup, a spoonful of yogurt or whipped cream, and a sprinkle of toasted nuts or chocolate chips if you like.