Please recommend a lip and eye remover.

If I don't remove my eye makeup completely, the residue remains.

Even if debris gets into the eyes, the skin around the eyes is thin.

Since it's sensitive, I think it's important to remove it thoroughly and gently. If you don't wipe your lips clean, staining will occur.

I thought some might remain, so I'm using Ponds Lip & Eye Remover; it removes well and is gentle.

Do you have any other products? Please give me some recommendations.