There is UK-based PHB ethical beauty which has large ranges of skincare and make up products. I have bought skincare products (moisturisers, hand creams, soaps) from them and found them to be of good quality.
Here's some information from their About Us page
PHB Ethical Beauty is a pioneering British family business with a revolutionary range of award winning ethical beauty products. We're home to the world's largest range of Natural, Vegan, Cruelty Free & Alcohol Free (Halal Certified) beauty products. Our skin, hair & body care products are handmade in the UK and we DO NOT test on animals. We are also palm oil free!
Our range includes Skin, Hair & Body care, Organic & Mineral Cosmetics and Male Grooming Products. Our products are so pure they make great Natural Remedies for Sensitive Skin and conditions such as Eczema, Psoriasis & Acne!
PHB Ethical Beauty is the creation of 3 caring and passionate entrepreneurs who believe the cosmetics industry needs BIG CHANGE and that 100% Plant Powered & Compassionate beauty products will improve your skin, your health and your well-being.
I believe there are numerous vegan cosmetics companies but I am not aware of any as established or as comprehensive in their offer than PHB. Their skin shade range is better than most too.