Once I grokked where you were going with this article, my first thought was the awesome
King of Dragon Pass [1]. Technically it looks very simple; I'm not sure whether it was implemented as a webpage, but it definitely could be. Where it succeeds better than any other RPG I've ever encountered is in
forcing you to roleplay as a bronze age tribal chieftain, because "act according to the worldview and ethics of a 21st-century westerner" just isn't on the menu. The Gloranthan heroquest elements (where your characters try to LARP mythological stories as a form of ritual magic) are wonderfully out there.
Curious whether you've played it, and if so, how close it comes to the sort of thing you're aiming for.
[1] http://store.steampowered.com/app/352220/King_of_Dragon_Pass...