I'm going to share with you my make-up remover secret. It's hands down the best beauty tip i've ever been given.
Hot flannel.
Seriously.
Sali Hughes did a piece in the Guardian ages ago about the best product to remove make up and mentioned hot flannels and cleansers.
I use Simple purifying cleansing lotion (I see someone above didn't get on with Simple products, but I love it)
I cover my face in the cleanser, run the tap very hot (as hot as you can bear) then wring the flannel out, drape it over my face and leave it for a few seconds to steam (!) then rub all my make up off.
I wear thick black liquid eyeliner and mascara every day and it comes straight off, no panda eyes. And the texture of the flannel is exfoliating too- so wins all round.
My skin hasn't looked/felt this good in years- I tell everyone about this now 
I bought cheap flannels and use them once or twice then bung them in the washing machine.