In a blender combine eggs, milk, water, vanilla, melted butter, flour, sugar and salt; blend until smooth (10-20 seconds). Refrigerate for at least 1 hour. (Recipe note #2)
When ready to cook crepes, place a plate near cooktop and heat an 8-inch carbon steel or nonstick skillet over medium heat until hot. Brush a thin layer of oil on bottom of pan. Scoop or pour 3-4 tablespoons (scant 1/4 cup) of batter into center of pan; tilt and swirl pan to spread batter in a thin, even layer. Cook 40 to 60 seconds, until top looks dry and bottom is lightly golden brown. (Or up to 2 minutes for a deep golden brown.) Flip with thin spatula and cook 20 to 30 seconds more or until lightly golden brown. Transfer to clean surface to cool. Repeat with remaining batter. Serve as you like (see post and recipe note #3 for ideas).
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Notes
Oil is a convenient alternative to butter when making crepes as butter has a tendency to burn. If you want to use butter, I recommend clarifying it first so it has a higher smoke point. See this post on how to clarify butter.
Refrigerating crepe batter allows the flour to absorb the liquid. Leftover batter will last up to 2 days in the refrigerator.