You don't??
Gore-boots for outdoors, waterproof/snow proof etc.
Sneakers for morning run, gym work. Casual long walking days such as Disneyland or stomping around various districts.
Black shoes to go with a suit for nice restaurants, I.e 2-3 Michelin star type places, anywhere with a formal dress code
Snowboard boots.
Thongs for pool trip, onsen trips, casual wear or hot days
Dark sneakers/canvas type shoes for casual wear with jeans, shopping in, night clubs etc.
Can add in Après ski shoes too.
This is why I have around 50kg of checked luggage today, I guess, but that includes 2 snowboards and back country kit.