Project Zomboid
Zombie invasion is already here and you are amongst the few ones who survived. But everything may change within a moment! One bite is enough to turn you into a blood-seeking monster and only your skills can prevent you from turning into an undead menace.
The game includes lots of management and planning, so prepare a good tactic before the next daring sortie. Calculate the number of supplies you have and the state of your small shelter. Make the nearby territories your base and turn it into the home for everyone, willing to work for the prosperity of it.
And in between ruling everything, find some time to distract yourself from the nightmare happening outside. Mental illnesses will affect the character in unforeseen ways, so unsure that you have a hobby to take up, while the undead are rambling on the streets, waiting for a reckless adventurer.