1. Hammer of course
2. Prybar/nail puller/crowbar of some sort
3. A normal + and flat screwdriver. those ones with the bits are nice but sometimes the bit holders don't fit down in a deep hole so keep a couple normal screwdrivers around for those.
You don't need wrenches too much for general house repair, maybe an adjustable or two. I keepwrenches in the larger toolbox that for ar/lawnmower/wagon/bike/whatever repairs.
4. Utility knofe and spare blades
5. Hack saw and blades. A coarse tooth hacksaw blace can be used to cut wood in a pinch
6. Ruler/square/straightedge to help mark straight lines.
7. Hand saw and maybe a miter box.
8. tape duct and electrical.
9. A pair of those all in one electricians pliers, they aren't the best at anything but you can cut and strip a wire if needed to fix an appliance.