Random events happening
I think it'd be interesting to have random events happening during world travel and maybe offline time. There is not much to say about it but an example would be like this:
Home Town "One of your peasant groups has come down with an illness, they will have to recover" - Settlers go in the town hall for some time.
Home Town while chopping trees "Your peasants have found a very large, resourceful tree. They will gather the plentiful lumber from it" - Maybe the tree will have a larger gathering count, or maybe a small increase to lumber in your stocks
World map while walking around "Your troops have came across a previous battlefield, they search the lifeless corpses and find resources"
Just something along those lines, I think would be interesting. Nothing too serious, but may make for a minor change of plans.