Hardholder, Maestro'd, Child Thing, Water Bearer, Chopper, Quarantine.
(All in 2e, most in 1e, too.)
HH: you literally define the hold where probably everyone lives and you're in charge of it.
Maestro'd: you have heavy influence on threats via your Establishment.
Child Thing: You literally cause one particular threat to be a thing by being this class, and decide things about it.
Water Bearer: You can literally declare yourself the only source of clean water for miles, have a microcommunity/psuedocult from the start, etc.
Chopper: Your gang is a medium-level narrative force.
Quarantine: HUGE influence over the how and what of the apocalypse itself, and your presence causes certain locations to exist.
I'd call those fairly large narrative inputs, all in all.