Exoligen Bubble Cleanser, bought with my own money

This cleanser is a product I was recommended while visiting a dermatologist.

If you feel you have a lot of dead skin cells on your face, you can apply it directly to dry skin and wash it off by rubbing; if your skin is fine, you can add a little water, lather it up, and wash your face. It lathers well, and my skin feels really soft after washing, so it is a great product.

The downside is that it's a bit more expensive than the existing product.