I have eyelash extensions and have to be cautious about eye makeup removers so my lashes stay put. I use Stila 's waterproof liquid eyeliner and this removes it completely with no scrubbing when I put it on a swab and wipe the eyeliner off. Of course it removes eye shadows, etc.
I have tried Buxom's waterproof eyeliner ant this does not work well with it; you need something more oily. My solution is to just use the products this very gentle remover can remove.