Shoes, in particular sports shoes, and methods for their manufacture can correspond to a shoe that has an upper with a textile region in at least one of a forefoot region and a midfoot region, as well as a heel cap of the upper. The heel cap substantially surrounds a rear side, a medial side, and a lateral side of a heel of a wearer's foot when worn. The heel cap forms a heel region of the upper, and the heel cap is manufactured substantially as one piece from a non-textile flexible plastic material.