My teen DS asks me to buy him the Boots TeaTree range (he uses the night gel and the little pads) and a wash off for the shower (he likes the Soap&Glory blue gel one, or Bulldog)
DD is 14.6 , she takes her make-up off with BodyShop Camomile ( either the butter balm or the eye make up cleanser)
I bought her Una Brennan (the exfoliant) but she hasn't used it yet.
Hot cloth cleansers are good as they give a gentle exfoliating action.