How to make crispy crepes?
A crisp crepe is less about the recipe and more about the cooking technique. You simply need to leave it a little longer before flipping it, allowing the edges to crisp. A little more oil than usual will help, but it should still only be a thin coating wiped on with a paper towel.

To make a thicker crepe, simply use less liquid. You can also look at using alternative flours like buckwheat which alter the texture.