If you mean world is ending hollywood style I would grab my nes, crt, and super off road and high tail it home (my grandfolks live in nowheresville).
I'd park the Volt in the yard (assuming there is no power) and hook the nes and tv to it and use the gasoline generator to power them until it ran out of gas.
Me, my sisters, and my Dad would play Ivan Ironman Stewards Super Offroad in 4 player mode like we did back in the day while Green Day's "Time of Your Life" played in the background.
If you mean world is ending for realsies... I would stay home and play a board game or something (anything) with my wife and son. I'd make sure before we all checked out that they knew how much I love them. Not much point in doing anything else.
The collection is kind of meaning and value-less at that point.