I'm not sure what it would be called... but here's the idea that one of Shia's ideas sparked in my head.
Imagine a bleak future of the world, Earth which was once an inhabited planet that was hit by an enormous asteroid, knocking the planet off its orbit, two thirds of its population annihilated in that single instant. Then because the planet was knocked off its orbit it was on a collision toward another planet, because they were to close or it had been knocked right into its path... it would happen within 90 - 120 days so the people had to organize their fleet of ships and train new pilots, engineers, co-pilots, navigators and for each ship one doctor with one-two nurses and a nursery area. An education for the children who might have to be taught things they might not have needed to know such as how not to panic, how to pilot the ship in an emergency, etc.
This means that they have to find somewhere else to live that they can inhabit, but to try and survive if they cannot. There is the matter of oxygen so the quicker the better, unless they're able to grow plants that might help. I'm not sure if they would have taken two of each animal on to each ship or not... maybe some did and others didn't due to time and panic. Its even more complicated because no one had ever found a planet that was livable before that had any life on it. They might see some planets and try and grow plants on them or leave the plant there to thrive on its own if possible and leave to seek out other potential sites and wait for years to get back to those spots of interest to see if the planet did thrive or not... unless they were able to find a planet that was inhabited by creatures that breathed oxygen like themselves.
No doubt this would still lead to several people panicking even on the ship(s) so they'd need to be taken care of somehow.
There would certainly be different types and ages of characters needed...and plenty of room for expansion if anyone has any input that we all could also discuss?