Your list is a good start. I would want a box knife, wire strippers, electrical tape, baling wire, duct tape, and diagonal cutters for a basic kit. Not a tool but an accurate tire gauge is also something I have in every vehicle. I also take a pair of mechanics gloves and lanolin type hand cleaner.
At a minimum I want to be able to tighten a hose clamp, remove a battery terminal, replace a burned out bulb, change a tire.
Something I always carry is a small tube of radiator stop leak. The stop leak works very well if a rock gets tossed up and punctures the radiator. It will get you home and can last for years.