I feel like a mathematical proof is trying to be settled in this thread.
I am more interested in the motivations behind the styles being discussed than creating a wiki.
How has hardware affected style through the history of pixel art?
-Larger palettes, sharper pixels, higher resolutions, etc.
Is the artist trying to push or even break the limits of (an older) computer (as is frequent in the demoscene), or are they looking backwards, to emulate old hardware limitations using a modern machine?
In amending my definitions I would probably remove old and new school, and replace it with a grey area dependent on hardware. Of hapiel's definitions, I think Bubblegum and Hi-Def are definitely observable trends. Demoscene, retro, hybrid, and iso (a perspective and a style) are also pretty easy to spot, though of course there is plenty of overlap between a lot of these.
when I read "Why did this have to be pixel art? Would have looked just as impressive in another medium" it gives me a headache
This.