Question: People often say, including those with extensive knowledge in biology, that a certain species of animal will evolve in one way or another:

1. From changing environments.
2. Mutations.
3. Possibly even genetic engineering from human animals.

My question lies in the fact that, aside from the latter option, why haven't any differences in animals'(except humans) markup, morphology, intelligence, DNA, behavior, or any habits changed over thousands or (possibly millions) of years?

A cockroach has had the same behavior it has today [more than 10 million years ago](http://en.wikipedia.org/wiki/Cretaceous), and there have been no advancements in the species in the slightest bit. 

It makes you question evolution, because why don't other animals (like cockroaches) have any changes over 10+ million years, yet humans, like me and you somewhat, have, in a relative period of time similar to the linked geological period above, evolved from spear tossing hominids into someone brilliant enough to even ponder this question.

If modern humans are the result of mutations in genes, why has no one species over the course of hundreds of millions of years been fit enough, or advanced mentally as we have, or even in any slightest bit?

Answer: 
This is a tricky question. 
First, evolution tend to be slow, although there have been recent examples of very fast evolution as well. So for most evolutionary processes, we are not present long enough to see them either happening or see the outcome. Therefore its also hard to say that no evolution is happening - see your cockroach example. How do you know that these animals are the same as 10 Mio years ago? And even if it is like this, it can also mean that these animals fit their niche so good, that there is not much pressure for further adaption. 

This can change pretty fast as examples from mites (here a report in the [BBC](http://www.bbc.co.uk/news/science-environment-22039872), this is the [original publication](http://onlinelibrary.wiley.com/doi/10.1111/ele.12107/abstract)). Another example of fast evolution (of bigger animals) are the Cichlids in the Lake Victoria, which developed new after the last time the lake dried up completely something like 12.000 years ago. After that, an estimated 300 endemic species developed (see [here](http://www.sciencemag.org/content/273/5278/1091.short)) which was then reduced by pollution and other environmental problem. The remaining species are evolving again to occupy the free niches (see [here](http://www.nature.com/news/2010/100707/full/466174a.html)).

In the case of the human, we are pretty lucky, that no other intelligent animal has come up so far. They would have fought for the same biological niche and living space with one species eventually dying out. This has, for example, happened to all the other homo species (habilis, erectus, neanderthalensis). As a species, we are quite young (around 200.000 years), so there is something going on. And there is genetic diversion between humans, but still not as much, that we cannot cross each other anymore. And with 7 billion of us now present, it's not that easy for mutations to come through at our reproduction rate.
Evolution is an ongoing process; it has no predetermined goal or direction; it never stops. Nothing ever stops because everything is ever-moving, ever-changing.

Is man more intelligent now than few thousand years ago? Has mankind a better understanding of the phenomenal and noumenal realms now than the people who composed the Upanishads, the Brahmanas, the Vedas ~2,500 years ago, which was preceded by hundreds if not thousands years of oral transmission (myths) from generation to generation?