A sunscreen composition, either impregnating a wipe substrate or comprising a sunscreen spray, wherein the composition comprises an oil phase dispersed stably as emulsion droplets in a water phase that contains i) a booster for the sun protection factor (SPF), comprising a combination of water-dispersible particulate materials, one of which is smectite clay, and a water-soluble or water-dispersible phenolic polymer; and ii) a water-soluble or water-dispersible polymer having a weak acid group, a weight average molecular weight of 1,000-100,000 Dalton, and an anionic charge density of no less than 4 milliequivalent per gram of the polymer; the said sunscreen composition meeting the following specifications: i) the in-vivo sun protection factor (SPF) is ≧1.8 times the weight percent of the sunscreen active(s) contained therein, based on the weight of the sunscreen composition; and ii) the shear thinning index of the composition is greater by 5% or higher with the weak acid polymer contained therein than without the polymer, the shear thinning index being defined as the ratio of viscosities of the sunscreen composition at 0.5 rpm and 20 rpm, measured on a Brookfield RVT viscometer at 25 ° C., using spindle 7, after cooling the composition to room temperature and storing it at that temperature for about 24 hours.