First off, different makeup removers work best for different needs - micellar water works best for lightweight, non-waterproof makeup, while oil cleansers are makeup removing powerhouses that grab every speck of makeup and grime.
There are also milk cleansers, which are in between an oil and a cream - they’re designed to be massaged into the skin, gently breaking down makeup. Your cleanser works better when your skin is free of makeup, too - ensuring you’re getting the most out of your skin care.