1. A futuristic setting with amazing technological advancements
2. A back story involving war, revolution or some variety of natural disaster which changed the old systems so the new dictatorship could take over
3. A hero from this society who feels there is something wrong with the way it is run and fights to change the accepted order
4. A figure of conflict who represents everything that the dystopia promotes
5. A group of people who are not under the state's control; the hero puts his (or her) hopes in this band of rebels.
6. A climax followed by the sense that everything is not completely resolved in the end.

I recognize most of the above elements from the movie: 2001: A Space Odyssey, especially the futuristic setting with the technological advancements. The City of Ember fits most of these because it has a back story that involves an apocalyptic event  or a war or event of some sort. It also fits the futuristic setting even though it doesn't have much advanced technology. 

The items that I would pick would be a sleeping bag, a heat reflective jacket, a rope, a bow and arrow, and a bottle of water. The reason for the sleeping bag would be because you need rest to be efficient. The reason for the jacket is because it keeps you cool so you can go farther. The reason for the rope is so you can climb to high places.  The bow and arrow is for protection and for food. Finally, I use the water bottle because it is reusable so you don't have to stay near a water source.