In short- Yes, Unilever test on animals. (Which is why I was devastated when they bought St Ives). For a good list of brands that don't, you can check out PETA's DO NOT TEST list, the Cruelty Free website of your country (http://www.leapingbunny.org/ I think is the best one for you) or check out My Beauty Bunny. She has a fairly comprehensive list of cosmetics that are/aren't tested on animals. She's great with keeping it updated as well.
In long- If a cosmetics brand sells to China, then that product is tested on animals. It's part of China's laws in regards to cosmetics, that they need to be tested on animals, before being sold to the public.
If you want to find out if someone tests their products, then send them an email, but word it carefully.
Example- "Do you test your cosmetics products on animals?"
Some companies can just say "Nope!" and technically, they're not lying.
If you write something along the lines of "Do you, or any third parties on your behalf, test the ingredients or finished product on animals?"
Then they're required to tell you the WHOLE truth.
Some will tell you "Well, we do but only because the LAW says we need to" which is bullplop and isn't bullplop.
It's bullplop in the way of, the only country (that I'm aware of) that REQUIRES a cosmetics company to test it's product, is China. All the other countries are against cosmetic testing on animals.
It's not bullplop, in that countries still require certain ingredients to be tested on animals before humans can use them. Example- Let's say wheat oil has never been tested on animals and a company wants to use it in their product. They would need to test wheat oil on animals.
Hope none of that was TOO overwhelming. It can be hard to begin with, but there are a lot of Cruelty Free options out there. So don't give up!