Army/Navy Store - looted and ransacked by day 3. Every survivalist knows where their local surplus store is located and they would feel the need to secure everything there asap.
Food Distribution Center - Either completely locked up and secure (if a non-corporate, non-advertized source such as food bank) or it would be looted. Not ransacked because those places are huge; 2-3 days is not enough to completely empty corporate centers (Kraft, McDonalds, whatever)
Hospital - Depending on location and type. Hospitals close to military bases most likely would be secured by the military. Those close to police centers (main) likewise. Smaller and more isolated hospitals most likely would be either shut up and abandoned or ransacked and/or controlled by local strongmen/gangs.
Pharmacy - most retail locations would be looted and ransacked. The lesser known compound pharmacies and those smaller shops (not recognized as pharmacies by signage etc) would be vulnerable treasure-troves.
Convenience Store - looted and ransacked.
Military Base - Either completely abandoned or location of law and order, depending on size, mission, etc. Their zones of control would expand to nearby infrastructure - shipyards, rail, access points like bridges, nearby airfields … whatever assets nearby to facilitate operations. Any of the above near the base might be completely taken by the military too.
Edit: Places of interest you failed to mention:
Hardware store - The tools and supplies of a large warehouse-type of store (Home Depot) would last a long time. Even the smaller places could offer essentials like nails,tools etc.
Restaurant Supply centers - too much there to ignore. Specialized equipment can help survival.
Sporting Goods/Outdoor stores - Places like “Bass” have huge amounts of hunting/fishing/camping supplies. Everything from clothing to fishing poles. Knives, guns, ammo, multi-tools. Regular sporting good stores would have less but still good gear - protective stuff, etc.
Police/Fire supply shops - Everything related to law enforcement. Not known to majority of public; lots of important stuff from body armor to mace… it would be high on my list because it still should be untouched by day two.
Small Police/Fire stations - essential equipment here. Smaller, satellite places would be “locked up and secured” (read abandoned) for future re-activation. Supplies etc would be there.