For eyes, I use Neutrogena Eye Makeup Remover Pads. Just one pad can completely remove thickly applied, smokey eye makeup. The pads, which are soaked with eye makeup remover, are very soft on the eyes and do not sting.
For the rest of the face, after I wash my face with regular cleanser, I make certain to remove all traces of makeup with Pond's Clean Sweep Makeup Removing Towelettes. Like the eye makeup remover pads, the towelettes are soft on the face yet effective at thoroughly getting rid of pore-clogging makeup.