A workaround may be to show values in a table and use Actions to set parameters or filter other visuals. You could apply any filter on this table (so would be able to show only dogs for a particular breed that may be selected via a control).
You may also explore having cascading filters… so for example the top visual has animal kinds (dog, cats etc). Upon selecting an animal, you move to the second visual (could also be in another tab) that shows breeds … and upon selecting a breed you move to the third visual that shows the animal types (cocker spaniel, poodle etc). Upon selecting this, you get stats related to you choices. The point of this “journey” is that at each step you are only presented with the choices relevant to the previous choices. (I have used this approach to “drill-down” in a sports dataset starting from League->Event->Team->Player… and it works very well).
There is also a way to select/deselect multiple items in a table. This could come in useful if you were looking into filtering a control for multi-valued parameters.