There are millions of cosmetics brands out there but not much of them are cruelty free (meaning they do not test on animals). Here are some brands that are cruelty free:
bath and body works
the body shop
lush
ELF cosmetics
refillables hanoi
Jo malone
heremes
H&M
colorgram
simple
st. ives
greenfinger
clean well
astonish
aussie
showermate
attitude
revolution
alba botanica