In American English:
1) Probably a home improvement store or some hardware stores
2) Furniture store (we agree here)
3) An appliance store or a department store
4) Supermarket or grocery store (dairies process the milk, but usually don �t sell it any more)
5) Office supply store (not many dedicated stationery stores left, note the spelling: stationary means that the store doesn �t move)
6) Car dealer or dealership