I thought Shaun of the Dead was good. Also liked A Quiet Place. I don't know if they qualify as "natural disasters", but neither zombie viruses nor aliens are "human made" (depending on the type of zombie virus of course).

Contagion is a very realistic depiction of a global pandemic.

Second this recommendation. I loved Contagion, and watching it during the early days of our own very real recent pandemic put a whole new spin to an already great film.

Greenland is surprisingly good, and scandalously overlooked: https://www.google.com/search?q=greenland+movie&ie=UTF-8&oe=...

I've always wanted a zombie/apocalypse/disaster movie where everyone works together and rebuilds civilization and the struggles therein, instead of it being about how humans are really evil when the shit hits the fan. So cynical!

>Is there a global-scale natural disaster movie that is any good?

Deep Impact is not a great film, but does a surprisingly good job of telling its story in a moving way.

Its archrival Armageddon is also not a great film, but is arguably even more effective at its job (that being "fun summer popcorn thriller").