What are minerals (other than zinc) that the human body cannot store
Essential "minerals", i.e., metal cations are magnesium, zinc, iron, potassium, sodium, manganese, molybdenum, selenium, cobalt, copper and even calcium, as we lose a tiny amount of it through urine and sweat. They are all "stored" in some way, but only temporally, so some amount has to be taken up daily. It would show only weeks later, however, if you have a deficiency.

Wikipedia adds phosphorus and iodine but they are not metals.