Building a small emergency kit without buying survivalist gear

I want a small emergency kit for ordinary problems: a power outage, burst pipe, minor cut or unexpectedly being stuck at home for a day. Search results quickly turn into survivalist shopping lists. I'm thinking flashlight, charged battery pack, basic first aid, water, important contact numbers and a way to shut off utilities. What simple item have you genuinely needed during a routine household problem, rather than a dramatic disaster scenario?