One piece is indeed the predator prey relationship. There are of course others. Environmental conditions especially. Prey adapt colours that conceal them where that is useful. Methods of cooling or heating are also adapted as needed. Also there are purely reproductive adaptations such as "mating displays".
Things that cause changes in the environment will upset the status quo and drive evolution in new directions. Plate tectonics cause ongoing changes over time and will keep forcing new adaptations. The patterns in the land by raising and lowering it. Changes in airflow by the same. Location, equatorial, temperate or arctic. Changes in what land masses are near each other. Changes in ocean currents that raise or lower the local temperatures, especially if they keep recurring.
Changes in the land masses can also act to isolate populations from one another. Over time they will adapt differently to pressures and become different species. Conside equines such a the horse, zebra and donkey.
These changes can force new adaptations, they can also bring new species into the mix when two landmasses collide or approach. Australia is a good example. Placental mammals in limited types arrived with the Aborigines and the local marsupials had a big die back (which may have been at least partly from ongoing climate changes). More changes have happened with the introduction of other species in modern times.
Assuredly from the appearance of the surface of Mars, Venus, Mercury and the Moon there are forces that change them. But they seem to be catastrophic rather than gradual so they would tend to wipe out life rather than drive its evolution.
I'm not a scientist either. I tend to read a lot on things that are of interest, science, technology and history. Which gives me a lot to think about and I sometimes get the pleasure of finding real scientists discovering what I've speculated about.