Clarins makes my eyes sting, I use Vaseline or baby oil but I tend to have bags under eyes so perhaps they are too heavy. I like oily remover if possible though.
Dermalogica is the best one. Its costly, but goes a long way. The idea is that you wet/dampen your cotton wool before adding a few drops of gel on it then wipe eyes clean. This way it does not matter which one you use, they are all very effective this way. My friend wears contact lenses and she swears by the boots own make.
Boots No7 make up remover wipes. Cost £7 for 30 but if you use the £5 off voucher they always give you, only cost £2 - excellent value & they are very soft on the skin.
I swear by the L'Oreal Absolute that Pasta recommends. It`s the only solution that removes waterproof mascara without completely drying up the skin in the eye area.