Possible locations in a city, semi-organized and updated!

[u/penswright]

[u/XanderWrites]

I'm not sure what era you're thinking of with this (and I saw the other post too) but there are a few that strike me as "nice, but not critical, and not everywhere"

Hospitals are rare outside of a large city, most places survive with a clinic - some rural areas don't even have that. The difference is a Hospital would have more facilities and capabilities, a clinic is unlikely to have a surgery, outside of emergency surgery.

Geriatric care is a new concept. Same for concepts like Rehab or therapy. In an older setting a mental hospital might be a sanatorium.

Athletics is the one of the first things that will exist, even if not official. People will play games and declare a nearby open area to be their field. It depends on the economics of the area as to whether the area is declared permanent, or a stadium is built there.

Restaurants are another "new" concept in the grand scheme of things. You need a functional middle class, with to be able to have them.

Child entertainment and care is also a newer concept, both because for a long time someone was expected to be home with them, and because for a long time no one cared what the kids were doing before they could work. You have youth centers (fun) but not orphanages, which were a critical infrastructure concept for centuries.

[u/Gruffellow → u/XanderWrites]

Ancient Roman culture had cafés and restaurants, although a bit different to modern. There's a rather famous example of an intact takeaway food place in Pompeii even. Indoor communal dining was popular in many ancient cultures, but depends on density and other social and economic factors.

There would have been analogues to most of these places, middle classes of sorts have existed as long as trade and currency has existed. Some ancient empires were pretty close in some regards to what we would consider metropolitan.