Currently the most important part of a game can be if you manage your hostility before the storm starts, especially because some effect trigger at the start of the season. It has happened to me that I paused a second late and lost multiple buildings or villagers.
Adding an option to auto-pause on storm transition would save a lot of grieve.
There are probably other good places to add auto-pause options as well.
For me, often I'd like to do some last-minute shopping before the trader leaves.
It may also be interesting to have the auto-pause feature for most notifications. That way, the game can be played as more of a turn-based game. You make your decisions, you go about doing your business while the game run in the background. You heard a notification and come back to see what got done and decide your next step.
Might make this addictive game more mangeable :P