I'm sure there are going to be naysayers, but stuff about dish detergent being back for the environment is malarkey. Just sayin'. BUT it's probably not a great product to apply to your eye area.
But most commercial makeup removers you purchase are merely a combination of water and oil, most often mineral oil. My two favorite ways to take off waterproof mascara are a 2:1 ratio of water to jojoba oil, or mineral oil. Put them in a bottle of some type and shake thoroughly before applying to one of those cotton pad things.
Also, unscented babywipes are cheap and work great. True story. I keep telling DH that even once we potty-train DD, I'm still buyin' wipes for that purpose, lol.