There are some missions that are missing the "Fire Fighting Missions" type, but have the "Rural Fire Missions" and/or "Urban Fire Missions" type.
They wont spawn from normal fire stations without the rural/urban specialisation, even if you have the other appropriate extensions/specialisations - these are flood/disaster missions. I find this weird, because some missions do spawn, E.G. the wildfire and foam, from just having the specialisation and not the specific urban/rural type even if the Fire Fighting type is not listed.
I've confirmed if I do buy an Urban specialisation then the missions will show as spawning for me.
I believe this to be a bug/error and not deliberate, but I may be incorrect? If so, apologies.
Here's the list I've found:
Flooding in a small house, following bad weather
Flooding in a small house, following bad weather (Disaster Response variant)
Flooding in a big house, following bad weather
Flooding in a big house, following bad weather (Disaster Response variant)
Flooding in a neighborhood following bad weather
Flooding in a neighborhood following bad weather (Disaster Response variant)
Major flooding in a neighborhood following bad weather
Major flooding in a neighborhood following bad weather (USAR variant)
Major flooding in a neighborhood following bad weather (Disaster Response variant)
Major flooding in a neighborhood following bad weather (Disaster Response and USAR variant)
Rising waters of the canal (Flood)
Rising waters of the canal (Flood) (USAR variant)
Rising waters of the canal (Flood) (Disaster Response variant)
Rising waters of the canal (Flood) (Disaster Response and USAR variant)