Off the top of my head.....lets see
Id start with a hand crank emergency radio. The ones where you turn the dial to generate electricity. They are always a sound investment. Most are pretty small so they are highly portable. Same with a flashlight that doesn't need batteries. Some are crank style, others Ive seen you shake and make electricity. Great investments because batteries go dead from use, or they expire and slowly lose their charge.
I would keep a few butane lighters. They burn hot, and are pretty much windproof. I have a few in the house and 1 in each vehicles glove box just in case.
Id get some emergency blankets. They hold heat in well, and can double for any number of things like to collect rain water, keep you dry in a storm, etc. Wool is great, but it can get bulky.
Id have a means of purifying water. Small water purifier kit that is hand operated. Remember your probably going to be without electricity so don't depend on the ability to plug in anything.
Speaking of that, get a can opener. In fact get 2. Never ever be without a hand crank can opener.
Candles. Don't have to get crazy but the longer lasting the better. Some very basic super easy meals like Ramen, or something to that effect. Something that if you need it you can just add water to and eat. Hots always better but Ive eaten cold Ramen before. And when your in that situation trust me it tasted heavenly. I like it too because its very inexpensive to get and keep on hand just in case.
Duct tape is another thing its got a zillion uses. Id also have a list of any medications including their dose and how often taken, and allergies anybody in your household is on. So when rescued if you need a medication then its easy to get you back on it.
Most first aid kits are pretty well stocked. Go get a good one and keep it on hand. Keep your supplies together in a rubbermaid container. Something easy to get your hands on but big enough so it has everything your gonna need.
This is just a basic list I could come up with. Ill revisit this and Im sure Ill make a few other suggestions.