I put grapeseed or jojoba or almond oil (from NOW brand) on my eyes first, and rub it in a little. Then I get Neutrogena eyemakeup remover in the bottle and get that on a cotton pad and apply it. It usually takes two cotton pads. But we're talking about removing a lot of waterproof eyemakeup.
Coconut oil and olive oil are the only two things I use on my face and eyes at all. Takes makeup off, moisturizes after washing, and all natural. No chemicals, nothing irritating...makes skin happy.
I like the up & up (Target store brand) stuff in a bottle. Same stuff as Neutrogena but cheaper. I use goopy eyeliner and fake eyelashes w/glue and eyeshadow daily and it wipes it away almost effortlessly!