Bacterball is a bacteria enhancing product for soil in planted tanks; it's just Bacter 100 shaped into a ball I believe. It's a good product and is supposedly good for shrimp; I've used it in Planted tanks with no noticeable difference i cycling time or algae. I've never had experience with Benibachi ball so I can't say anything about it one way or the other.
Either Shou or Nagomi are mineral products to increase shell quality (color) and molting in shrimp. I believe the other one of them is a small porous stone ball with small amounts of minerals that helps water quality by giving beneficial bacteria a place to live. In most tanks they live under the soil and in the filter, but this just gives them another place to grow, where shrimp can eat them.