Weil cohomologies seem to be "natural" and useful cohomology theories. Wikipedia lists Betti, De Rham, l𝓁-adic etaleétale, and crystalline cohomologies as examples of Weil cohomology. Do we have more of them? and is it plausible to classify all or some Weil cohomologies? Or more generally, classify these really good Grothendieck sites?