There's a notable alternative -- you don't have a meteoric rise to giant status, but you also don't collapse. These sorts of "happy medium" companies are in the vast majority even in our industry, but they're less likely to end up on the front page of a news feed, esp. those biased toward the fast growth (startup) community.
Also, you forgot the last stage. After becoming super rich, the CEO gets inspired by something other than heading up a vilified corporation, then goes off and founds a foundation that does great humanitarian work. Now that the company is not on top and the founder is doing exclusively good stuff for humanity, no one hates either anymore :-)
edit: fixed pronouns and adjectives because it pointed ambiguously in the sentence.
But you're definitely completely right about medium-sized companies. I had totally forgotten about that category.
Kodak is a prime example. So's RCA (who remembers them?). Sears. IBM. Xerox. All once considered unstoppable juggernauuts.
In fact, the conventional wisdom is that companies inevitably grow to take over the world. There are no instances of this happening - there are only cases where a company survived senescence by successfully making their competition illegal.
Great question. In the biography of Rockefeller "Titan", the book notes that Standard Oil's market share was steadily declining throughout the antitrust trial, and Rockefeller was unable to stem the bleeding.
I would think that equilibrium was fine, maybe even a good sign- it's a successful business that's humming along. But short-term investors want to see growth, so they can cash out their investment in a few months or years.
The positive aspect of all of this is that it constantly drives evolution and innovation through competition. The part that sucks is that businesses are forced to constantly grow (or waste lots of money on failed attempts to grow), until they get so big compared to their optimal size that they just stop making sense as companies and crumble under their own weight.