I have used Estee Lauder Make up remover for eye and lips. It works as charm. I have very dry and sensitive skin and I make sure that any product that I use will not affect my skin. For eye make up remover I check for oil free make up removers and this is the best suited for the condition.
It is gentle on eyes and removes the make up in two three wipes.Even the gel or water based make up gets away quickly and without smudging too much.
Although it is for all skin type I would refer it for sensitive skin type.