I find myself pondering what would happen if you took a game like BitD, but made stress collective rather than individual. Or, to get more extreme, what if the whole D&D party pulled from the same pool of Hit Points?
(Handwave away the small problems, like tuning abilities)
In Fate, FP are currency, so moving to a collective model introduces all kinds of economic concerns like incentivizing free riders.
Both of these would work ok, but maybe not great.