I tend to want to build a massive, incredible base.
I’ve just cleared out a FEMA camp that’s along a river and surrounded by swamp and forest. It’s basically the perfect base location. I want to make a home for myself.
This means razing the FEMA camp, repairing the chain-link fence that was damaged, hauling resources into the base, building a farm, building a garage, getting alcohol stills going, getting a pot farm going, make a living room. Smoke, drink, and read books. Craft spare weapons and armor (I think having three sets of everything is nice). Make and preserve all types of specialty foods, go out for runs (man, I really want some chocolate covered pretzels and I’m running low on coffee), and just explore.
Oh, and special challenges, like level an entire town of zombies without directly hitting any of them (through environment hazards such as traps, fire, acid, mi-gos, etc).
Prepare for the eventual death of my own character and offer a map, some food and drink, some armor, good weapons, and a the coordinates to the base graffiti’ed at evac shelters