Here is an extended look at Michael Bay's post-apocalyptic TV show The Last Ship. This show takes place in the near future, aboard a US Navy ship that sails around the world looking for a cure to a virus that has wiped out 80% of the population.
But...it's not the last ship. Every nation's submarine fleet would be safe, as well as research stations in the deep Arctic, Antarctic, and undersea exploration sites from Woods Hole.
Oh, and a couple people in the International Space Station.
...and, well, lots of Isolated places, like workers in Clean Room environments, so, a good chunk of Taiwan and China's Silicon Chip production workers would be alive if they stayed at work...