Yeah, I mistakenly picked up the CeraVe Foaming Cleanser one time. I found that one to be more harsh, due to the foaming surfactants, I'm sure.
I have used Zia Basics Moisturizing Cleanser before. I could no longer find it at my local Wegman's, but I see that it is available at Amazon
. It is a very mild cleanser and I really liked it. I don't actively seek out organic cleansers either, but this one is basic and doesn't have any detergents in it. Don't let the oils scare you, if that's a concern. Even my oily skin was not bothered by this. It removes makeup well, too.
Good luck on your quest!