Sorry I'm not computer literate enough to post a link, but I checked the FAQ's on suave.com. It said that they test on animals but are trying to minimize this and that products containing glycerin and or stearic acid contain animal by-products.
It's in PETAs caring consumer as not testing on animals, but not neccessarily vegan.
I'm not sure how up to date this list is, but interesting to check--esp. companies that do test like Arm and Hammer, Crest...
I've switched to baking soda and vinegar for my hair. When my soap supply runs out I 'm getting Dr. Bronners liquid castile, good for hair, body, even laundry. I have a laundry powder now called Charlies Soap, as basic as it gets, vegan fair trade and not animal tested-and cheap.
Though, I haven't checked all their products, they might not consider things like silk, lanolin, honey, or other things like that animal products. So if they happen to use them, certain items may not be vegan.
Again, I haven't checked to see if any items use those, or whether or not WR considers them animal products.