e.l.f. Holy Hydration! Daily Cleanser (vegan and cruelty-free source)
Milk Gentle Face Wash (cruelty-free and vegan source)
Pacifica Ceramide Extra Gentle Face Wash (cruelty-free source and vegan source)
Some of the things to look out for when determining whether face wash is vegan: Collagen, keratin, beeswax, gelatin.