How can I make NON-fluffy pancakes?
Have you tried making Swedish Pancakes? They are between a "regular" fluffy pancake and a crepe. To make a proper crepe, you need either a crepe pan or a crepe griddle. With Swedish Pancakes, you can use a regular pan. You will find that Swedish Pancakes have a higher amount of eggs and milk. For example:

4 eggs
2 cups milk
1/2 cup flour
1 tbsp sugar
1 pinch salt
2 tbsp melted butter