There are over 70 different seed vaults spread across the globe. Granted, most are not really built to withstand a doomsday scenario, but they are still useful for regional conflicts such as wars and other things that ruin the crops in an entire region.
We should probably have a few more ready for doomsday scenario as well. I have no idea how people are even going to get to Svalbard in the event of a doomsday scenario :P It's very difficult to get to this place, so just imagine how we would get there without planes and vehicles.