Is there an example of a new species through mutation breeding?
Definition of species by the criteria of not being able to breed is problematic: e.g., some breeds of dogs cannot breed, due to the differences in their sizes, yet they are the sale species, as could be dhown by artificial fertilization.
Now, if we take any two closely related species and trace their genealogy deep in the past, we run into the same ambiguity: it turns out that at some point they could breed, and their separation into two dustinct species unable to breed was a process that lasted hundreds of thousands ir millions of years.
This brings us to another point: the characteristic evolutionary times for most animals are too long, compared to the existence of our civilization, for dustinc species to appear
This may not be true for faster evolving organisms, such as viruses or bacteria - e.g., HIV had diverged from SIV about hundred years ago. However we cannot define them as different species, except by saying that the dissimilarity if their genetic sequences exceeds certain threshold.