Well, I have lived through a few on your list but fortunately never had to grab and go but it has come near a few times.
All my relevant papers, passports, insurance doc, are in one file box with a handle, ready to go. A prepacked bag plus 'spare' medication for my wife is downstairs in the hall. With longer to prepare we would of course pack the car but for an immediate leave NOW! situation we have essentials.
Must add spare dog lead, food and bowl to the bag!!!
We have a car kit that is in sealed containers , some packed around the spare wheel, some in under seat cubbys. This has first aid, spare clothing, blankets, fire starters and fuel, tarps, tools, rope, as well as food and water. We added a camp kettle and pots/mess kit along with plastic and metal mugs, plates etc.
For me it is just common sense and being practical, like carrying a tow rope, shackles and jump leads, making sure your spare tyre is inflated, the jack works and is greased. I have not had to change a tyre on my car for years but who knows,