That's a good question because "species" is a means devised my human kind to differentiate types or kinds of animals.  As I mentioned early, splitting hairs doesn't do any one any good becuase it establishes un-needed strawmen.

This is evolution. Why are people still ignorant about it?

Well, I'd define a species as a male/female equivalent that can breed.

It is evolution, but it's still a dog. 

If only there was say... a scientific definition, so you didn't have to make this up as you went along... ohh wait.

https://en.wikipedia.org/wiki/Species

See if you're going to try to poke holes in Evolution, you have to understand the meaning of the terms they are using and use those terms the the correct manner.

That's fine, but no one has yet to observe one kind of animal changing into another no matter how you slice is as I just pointed out (spliting hairs).

I believe the Theory of Evolution by Natural Selection is the best theory we have so far that explain the facts of similarities and differences between species when taking into account their environment, anatomy and genome.

A theory is not a fact, but an explanation of facts. For it to be a fact, it needs to go through the empirical scientific method; observation. Since evolution takes an incredible amount of time, we have yet to observe an species evolve before our own eyes. That said, the Theory of Evolution by Natural selection is probably the strongest theory there is thanks to the great amount of evidence that supports it. At this point, I think the only thing preventing it of being a fact is a technicality

If you expect to see "one kind of animal changing into another" in a sense that you want to see generation after generation after generation of change until you see one animal that doesn't look anywhere close to the original animal then you do not understand evolution at a basic level.

There are plenty flighless birds, frogs start out as fish, caterpillars become butterflies. All species share a lot of the same DNA. DNA for a wing is very similar to DNA for a fins or a limb. There are plenty species that don't neatly fit into kindergarten classification. Species definition is a problem onto itself as there are no neat boundaries. For example Mesodinium chamaeleon crosses the boundary between plants and animals.

Evolution doesn't work like that. It's not like there's a clear shift into a new species. Instead, it's gradual change that becomes more noticeable when you compare a longer timespan.