There are lists online.
As said, Superdrug are good at labelling.
The large companies won't/can't, if they export, as some countries, China is one, insist on animal testing.
Any company that exports to these countries test on animals.
To add further complications, many companies that claim not to, have ingredients that are tested on animals, but bought afterwards.
So they get around the fact they actually do, to create their products.
I'm Vegan and against all unnecessary animal abuse/cruelty, so am on lots of Forums, this is an ongoing issue.
It's frustrating, but in regards to animal testing, things aren't improving.
Although, a lot of cleaning products that are in discount shops are not Vegetarian society approved.