Whisk together the flour, baking powder, sugar, and salt in a medium bowl.
Make a well in the center, then add the egg, milk, and vanilla, whisking until the batter is smooth and thick like honey.
Melt 1 teaspoon of butter in a nonstick pan over medium heat, then wipe out the excess with a paper towel so only a thin layer remains.
Drop about 2 tablespoons of batter per pancake into the pan, shaping them into 3-inch rounds, and cook until bubbles form and pop on the surface, about 1 1/2 minutes.
Flip the pancakes and cook the other side until golden, about 1 minute, then repeat with the remaining batter, adding more butter only if needed.
Serve warm with jam and whipped cream.