New Start menu - how many variations are there?

I have a couple of computers running Win10.

On one machine, I just forced the Anniversary edition update. When I open the Start menu, the "Settings" button is a small icon on the left side near the bottom. (there is Power, Settings, File Explorer, and User). There is a "menu icon" at the top left, but clicking on it just has "Start" shown and it does nothing.

On my other Win10 computer (that doesn't have the Anniversary upgrade) when you click on the Start button, the Settings button is a listed in the "Apps" lineup.

This morning I was checking the third computer to see if anything upgraded, I clicked on the Start button and there was no Settings button, at the top left of the Start Screen there is now a "menu" button which has the Settings button in its list.

How many different start screens are there for Win10? Is this configurable? I prefer to have the small icons at the lower left.

Go to settings (NOT the control panel) -> Personalization -> Start -> on the bottom click at "Chose which folders appear on Start"
Compare that on all computers.